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Popular Word Problems >

The sum of the squares of two consecutive whole numbers is 61. Find the 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 w h o l e n u mb ers i s 61. F in d t h e n u mb ers .

Solution

The numbers : 5, 6 or - 6, - 5

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 61

Solve

x^{2} + (x + 1)^{2} = 61 : x = 5, x = - 6

Plug in

x = 5 : 6

Plug in

x = - 6 : - 5

The numbers : 5, 6 or - 6, - 5

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