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Popular Word Problems >

The sum of two numbers is twice their difference. The sum of the squares of the two numbers is 6250.What are the to numbers.

Solution

T h e s u m o f tw o n u mb ers i s tw i ce t h e i r d i ff ere n ce . T h e s u m o f t h e s q u a res o f t h e tw o n u mb ers i s 6250. Wha t a re t h e t o n u mb ers .

Solution

The numbers : 75, 25 or - 75, - 25

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 2 (x - y)

x^{2} + y^{2} = 6250

Solve the system of equations:

x + y = 2 (x - y), x^{2} + y^{2} = 6250 : (x = 75, x = - 75, y = 25 y = - 25)

The numbers : 75, 25 or - 75, - 25

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