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Popular Word Problems >

The sum of the squares of two consecutive even integers is 244. What are these numbers?

Solution

T h e s u m 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 244. Wha t a re t h ese n u mb ers ?

Solution

The numbers : 10, 12 or - 12, - 10

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 244

Solve

x^{2} + (x + 2)^{2} = 244 : x = 10, x = - 12

Plug in

x = 10 : 12

Plug in

x = - 12 : - 10

The numbers : 10, 12 or - 12, - 10

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