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Popular Word Problems >

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

Solution

T h e s u m o f tw o n u mb ers i s 12. T h e s u m o f t h e i r s q u a res i s 74. F in d t h e n u mb ers .

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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