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Popular Word Problems >

The sum of three numbers is 91. The first number is 9 less than the second. The third number is 3 times the second. What are the numbers?

Solution

T h e s u m o f t h ree n u mb ers i s 91. T h e f i rs t n u mb er i s 9 l ess t han t h e seco n d . T h e t hi r d n u mb er i s 3 t im es t h e seco n d . Wha t a re t h e n u mb ers ?

Solution

The numbers : 11, 20, 60

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 91

x = y - 9

z = 3 y

x + y + z = 91, x = y - 9, z = 3 y : x = 11, y = 20, z = 60

The numbers : 11, 20, 60

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