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Popular >

The difference between two positive numbers is 7 and the square of their sum is 289 . Find the two numbers.

Solution

The difference between two positive numbers is 7 and the square of their sum is 289 . Find the two numbers.

Solution

The numbers : 12, 5

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 7

(x + y)^{2} = 289

Solve the system of equations:

x - y = 7, (x + y)^{2} = 289 : (x = 12, x = - 5, y = 5 y = - 12)

Select positive solutions:

5, 12

The numbers : 12, 5

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