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Popular Word Problems >

The difference between two numbers is 96. The larger number is five times the smaller number. What are the numbers?

Solution

T h e d i ff ere n ce b e tw ee n tw o n u mb ers i s 96. T h e l a r g er n u mb er i s f i v e t im es t h e s ma ll er n u mb er . Wha t a re t h e n u mb ers ?

Solution

The numbers : 120, 24

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 96

x = 5 y

x - y = 96, x = 5 y : x = 120, y = 24

The numbers : 120, 24

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