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Popular Word Problems >

The sum of two numbers is 25 and the sum of their squares is 337. Find the numbers.

Solution

T h e s u m o f tw o n u mb ers i s 25 an d t h e s u m o f t h e i r s q u a res i s 337. F in d t h e n u mb ers .

Solution

The numbers : 9, 16

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 25

x^{2} + y^{2} = 337

Solve the system of equations:

x + y = 25, x^{2} + y^{2} = 337 : (x = 9, x = 16, y = 16 y = 9)

Discard duplicated solutions

The numbers : 9, 16

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