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Popular Word Problems >

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

Tw o n u mb ers a dd u p t o 37. I f t h e s ma ll er n u mb er i s in cre a se d b y ha l f t h e l a r g er n u mb er, t h e res u lt i s 26. F in d t h e tw o n u mb ers .

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

Popular Examples

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