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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. What is the smaller number?

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 . Wha t i s t h e s ma ll er n u mb er ?

Solution

The number : 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 number : 7

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