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Popular Word Problems >

The sum of two numbers is 27. Half the larger number increased by three is same as the smaller number. Find the numbers.

Solution

T h e s u m o f tw o n u mb ers i s 27. H a l f t h e l a r g er n u mb er in cre a se d b y t h ree i s s am e a s t h e s ma ll er n u mb er . F in d t h e n u mb ers .

Solution

The numbers : 16, 11

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 27

\frac{1}{2} x + 3 = y

x + y = 27, \frac{1}{2} x + 3 = y : x = 16, y = 11

The numbers : 16, 11

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