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Popular >

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

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

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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