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Popular Word Problems >

One positive integer is 5 less than twice another. The sum of their squares is 325. Find the integers.

Solution

O n e p os i t i v e in t e g er i s 5 l ess t han tw i ce an o t h er . T h e s u m o f t h e i r s q u a res i s 325. F in d t h e in t e g ers .

Solution

The numbers : 15, 10

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 y - 5

x^{2} + y^{2} = 325

Solve the system of equations:

x = 2 y - 5, x^{2} + y^{2} = 325 : (x = 15, x = - 17, y = 10 y = - 6)

Select positive solutions:

10, 15

The numbers : 15, 10

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