{"id":26807,"date":"2019-12-13T16:22:40","date_gmt":"2019-12-13T11:22:40","guid":{"rendered":"http:\/\/jworldtimes.com\/old-site\/?p=26807"},"modified":"2019-12-14T09:14:16","modified_gmt":"2019-12-14T04:14:16","slug":"algebraic-equations-word-problems","status":"publish","type":"post","link":"https:\/\/www.jworldtimes.com\/old-site\/others\/algebraic-equations-word-problems\/","title":{"rendered":"Algebraic Equations \u2013 Word Problems"},"content":{"rendered":"

\"55-553835_kisspng-student-teacher-blackboard-education-teacher-school-teacher\"<\/a><\/p>\n

 <\/p>\n

Algebraic Equations \u2013 Word Problems<\/span><\/h1>\n

Asad Aziz<\/span><\/p>\n

An equation is almost a sort of seesaw: you add something to the left, lose the balance and are forced to do the same to the right; you divide and multiply by something, once again, the same must be done to the other side; if you subtract something, there is no exception. Therefore, solving equation means, getting rid of everything around x by seesaw method.<\/p>\n

\"Solve-Systems-of-Algebraic-Equations-Containing-Two-Variables-Step-19-Version-2\"<\/a><\/p>\n

<\/p>\n

Example 1<\/strong><\/span><\/p>\n

I think of a number, add 7 and the answer is 10. Find the number.<\/p>\n

Let the number be x.<\/p>\n

x + 7 = 10<\/p>\n

-7 => x + 7 -7 = 10 -7<\/p>\n

x = 3<\/p>\n

The number is 3.<\/p>\n

Example 2<\/strong><\/span><\/p>\n

I think of a number, multiply it by 2, take away 4. The answer is 10. Find the number.<\/p>\n

Let the number be x. 2x – 4 = 10<\/p>\n

+ 4 => 2x – 4 + 4 = 10 + 4<\/p>\n

2x = 14<\/p>\n

:- 2 => 2x \/ 2 = 14 \/ 2<\/p>\n

x = 7<\/p>\n

The number is 7.<\/p>\n

Practice Questions<\/strong><\/span><\/p>\n

    \n
  1. I think of a number, multiply it by 4 and add 5. The answer is 29. Find the number.<\/li>\n<\/ol>\n

    Ans: <\/strong>6<\/span><\/p>\n

      \n
    1. I think of a number, add 3 and the result is multiplied by 4. The answer is 28. Find the number.<\/li>\n<\/ol>\n

      Ans: <\/strong>4<\/span><\/p>\n

        \n
      1. I think of a number, add 6 and divide by 3. The answer is 5. Find the number.<\/li>\n<\/ol>\n

        Ans: <\/strong>9<\/span><\/p>\n

          \n
        1. I think of a number, multiply by 4, and add 6. The result is then multiplied by 5 and the answer is 70. Find the number.<\/li>\n<\/ol>\n

          Ans: <\/strong>2<\/span><\/p>\n

            \n
          1. Twice a number added to 5 is the same as the number added to 10. Find the number.<\/li>\n<\/ol>\n

            Ans: <\/strong>5<\/span><\/p>\n

              \n
            1. A number multiplied by 5, add 4 is the same as 6 times the number. Find the number.<\/li>\n<\/ol>\n

              Ans: <\/strong>4<\/span><\/p>\n

                \n
              1. Three times a number, add nine, divided by 6 is the same as the number itself. Find the number.<\/li>\n<\/ol>\n

                Ans: <\/strong>3<\/span><\/p>\n

                  \n
                1. Twice a number added to 6 is the same as ten subtracted from six times the number. Find the number.<\/li>\n<\/ol>\n

                  Ans: <\/strong>4<\/span><\/p>\n

                    \n
                  1. The sum of three consecutive numbers is 78. Find the numbers.<\/li>\n<\/ol>\n

                    Ans: <\/strong>25, 26, 27<\/span><\/p>\n

                      \n
                    1. The sum of three consecutive even numbers is 60. Find the numbers.<\/li>\n<\/ol>\n

                      Ans: <\/strong>18, 20, 22<\/span><\/p>\n

                        \n
                      1. The sum of the half, the third and the forth of a number is 10 more than the original number. Find the number.<\/li>\n<\/ol>\n

                        Ans: <\/strong>120<\/span><\/p>\n

                          \n
                        1. The sixth of a number exceeds the eight of the same number by 4. Find the number.<\/li>\n<\/ol>\n

                          Ans: <\/strong>96<\/span><\/p>\n

                            \n
                          1. Divide \u00a3110 among Amy, Basil and Clare in such a way that Amy has \u00a310 more than Basil and Basil has \u00a320 more than Clare.<\/li>\n<\/ol>\n

                            Ans: <\/strong>50, 40, 20<\/span><\/p>\n

                              \n
                            1. Find a number so that its half exceeds the sum of the fifth and the sixth of the same by 16.<\/li>\n<\/ol>\n

                              Ans: <\/strong>120<\/span><\/p>\n

                                \n
                              1. A man is twice old as his son is now. Eighteen years ago, he was 5 times as old as his son was then. How old is his son now?<\/li>\n<\/ol>\n

                                Ans: <\/strong>24<\/span><\/p>\n

                                  \n
                                1. The length of a plank of wood is 2cm more than its width. If the length and width were 1cm and 3cm more, the plank would have been a square. Find the length and width of the plank.<\/li>\n<\/ol>\n

                                  Ans: <\/strong>6, 4<\/span><\/p>\n

                                    \n
                                  1. Anil and Bisma shared \u00a380 between them. When Bisma gives Anil \u00a320, Anil has \u00a312 more than Bisma. How much did they have at the beginning?<\/li>\n<\/ol>\n

                                    Ans: <\/strong>26, 54<\/span><\/p>\n

                                      \n
                                    1. The sum of two numbers is 112. Find the numbers, if the difference between them is 48.<\/li>\n<\/ol>\n

                                      Ans: <\/strong>80, 32<\/span><\/p>\n

                                        \n
                                      1. Find two numbers with a difference and a mean, 8 each.<\/li>\n<\/ol>\n

                                        Ans: <\/strong>12, 4<\/span><\/p>\n

                                          \n
                                        1. The longest side of an isosceles triangle is 4cm more than the twice of each other side. Find the length of the longest side, if the perimeter is 44cm.<\/li>\n<\/ol>\n

                                          Ans: <\/strong>24<\/span><\/p>\n

                                           <\/p>\n

                                           <\/p>\n

                                           <\/p>\n","protected":false},"excerpt":{"rendered":"

                                            Algebraic Equations \u2013 Word Problems Asad Aziz An equation is almost a sort of seesaw: you add something to the left, lose the balance and are forced to do the same to the right; you divide and multiply by something, once again, the same must be done to the other side; if you subtract …<\/p>\n","protected":false},"author":1,"featured_media":26808,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10390,10953,10859,4,36],"tags":[574,2419,257,72,8438,9668,1000,548,1226,40,2231,610,1161,10115,8467],"_links":{"self":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/26807"}],"collection":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/comments?post=26807"}],"version-history":[{"count":1,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/26807\/revisions"}],"predecessor-version":[{"id":26810,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/26807\/revisions\/26810"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media\/26808"}],"wp:attachment":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media?parent=26807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/categories?post=26807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/tags?post=26807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}