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Popular Word Problems >

the sum of two numbers is 24 and the sum of their squares is 290. find each number

Solution

t h e s u m o f tw o n u mb ers i s 24 an d t h e s u m o f t h e i r s q u a res i s 290. f in d e a c h n u mb er

Solution

The numbers : 11, 13

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 24

x^{2} + y^{2} = 290

Solve the system of equations:

x + y = 24, x^{2} + y^{2} = 290 : (x = 11, x = 13, y = 13 y = 11)

Discard duplicated solutions

The numbers : 11, 13

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