Q7 of 38 Page 190

If the sum of two numbers is 89 and their difference is 15, let’s find the two numbers.

Let two numbers be x and y,


Then according to the given criteria


x+y=89


Hence the y=89-x is another number


Given the difference of both the numbers is 15


Hence


x-(89-x)=15


⇒ x-89+x=15


⇒ 2x=89+15


⇒ 2x=104



And the other number is y=89-x=89-52=37


Hence the two numbers are 52 and 37


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