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Popular Word Problems >

one number is two less than five times another. If their sum is increased by five, the result is twenty-seven. Find both numbers

Solution

o n e n u mb er i s tw o l ess t han f i v e t im es an o t h er . I f t h e i r s u m i s in cre a se d b y f i v e, t h e res u lt i s tw e n t y - se v e n . F in d b o t h n u mb ers

Solution

The numbers : 18, 4

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 5 y - 2

x + y + 5 = 27

x = 5 y - 2, x + y + 5 = 27 : x = 18, y = 4

The numbers : 18, 4

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