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Two numbers add up to 37. If the smaller number is increased by half the larger number, the result is 26. Find the two numbers.

Solution

Two numbers add up to 37. If the smaller number is increased by half the larger number, the result is 26. Find the two numbers.

Solution

The numbers : 15, 22

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 37

x + \frac{1}{2} y = 26

x + y = 37, x + \frac{1}{2} y = 26 : x = 15, y = 22

The numbers : 15, 22

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