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Popular Word Problems >

Two consecutive positive numbers are such that the sum of their squares is 113. Find the two numbers

Solution

Tw o co n sec u t i v e p os i t i v e n u mb ers a re s u c h t ha t t h e s u m o f t h e i r s q u a res i s 113. F in d t h e tw o n u mb ers

Solution

The numbers : 7, 8

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 113

Solve

x^{2} + (x + 1)^{2} = 113 : x = 7, x = - 8

Select positive solutions:

7

x + 1 = 7 + 1 = 8

The numbers : 7, 8

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