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The sum of two numbers is 12. The sum of their squares is 74. Find the numbers.

Solution

The sum of two numbers is 12. The sum of their squares is 74. Find the numbers.

Solution

The numbers : 5, 7

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 12

x^{2} + y^{2} = 74

Solve the system of equations:

x + y = 12, x^{2} + y^{2} = 74 : (x = 5, x = 7, y = 7 y = 5)

Discard duplicated solutions

The numbers : 5, 7

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