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Popular Word Problems >

The difference of the squares of two consecutive even integers is 68. What are these numbers?

Solution

T h e d i ff ere n ce o f t h e s q u a res o f tw o co n sec u t i v e e v e n in t e g ers i s 68. Wha t a re t h ese n u mb ers ?

Solution

The numbers : - 18, - 16

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} - (x + 2)^{2} = 68

Solve

x^{2} - (x + 2)^{2} = 68 : x = - 18

x + 2 = - 18 + 2 = - 16

The numbers : - 18, - 16

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