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Popular Word Problems >

The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers.

Solution

T h e d i ff ere n ce o f tw o n u mb ers i s 15. F i v e t im es t h e s ma ll er i s t h e s am e a s 9 l ess t han tw i ce t h e l a r g er . F in d t h e n u mb ers .

Solution

The numbers : 22, 7

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 15

5 y = 2 x - 9

x - y = 15, 5 y = 2 x - 9 : x = 22, y = 7

The numbers : 22, 7

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