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Popular Word Problems >

The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find the smaller of the numbers.

Solution

T h e l a r g er o f tw o n u mb ers i s tw o m ore t han f i v e t im es t h e s ma ll er n u mb er . I f t h e s u m o f t h e tw o n u mb ers i s 80, f in d t h e s ma ll er o f t h e n u mb ers .

Solution

The smallest number : 13

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 + 5 y

x + y = 80

x = 2 + 5 y, x + y = 80 : x = 67, y = 13

Select the smallest solution:

13

The smallest number : 13

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