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Popular Word Problems >

The sum of two numbers is 26. Half the larger number increased by five 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 26. H a l f t h e l a r g er n u mb er in cre a se d b y f i v e 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 : 14, 12

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 26

\frac{1}{2} x + 5 = y

x + y = 26, \frac{1}{2} x + 5 = y : x = 14, y = 12

The numbers : 14, 12

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