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Popular >

The difference of two positive numbers is 3 and the sum of their squares is 117. Find the numbers.

Solution

The difference of two positive numbers is 3 and the sum of their squares is 117. Find the numbers.

Solution

The numbers : 9, 6

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 3

x^{2} + y^{2} = 117

Solve the system of equations:

x - y = 3, x^{2} + y^{2} = 117 : (x = 9, x = - 6, y = 6 y = - 9)

Select positive solutions:

6, 9

The numbers : 9, 6

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