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Popular Word Problems >

the sum of the square of two consecutive natural numbers is 85.determine the numbers

Solution

t h e s u m o f t h e s q u a re o f tw o co n sec u t i v e na t u r a l n u mb ers i s 85. d e t er min e t h e n u mb ers

Solution

The numbers : 6, 7 or - 7, - 6

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 85

Solve

x^{2} + (x + 1)^{2} = 85 : x = 6, x = - 7

Plug in

x = 6 : 7

Plug in

x = - 7 : - 6

The numbers : 6, 7 or - 7, - 6

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