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Popular Word Problems >

the sum of three numbers is 105. the second number is 4 times the third. the first number is 9 less than the third. what are the numbers

Solution

t h e s u m o f t h ree n u mb ers i s 105. t h e seco n d n u mb er i s 4 t im es t h e t hi r d . t h e f i rs t n u mb er i s 9 l ess t han t h e t hi r d . w ha t a re t h e n u mb ers

Solution

The numbers : 10, 76, 19

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 105

y = 4 z

x = z - 9

x + y + z = 105, y = 4 z, x = z - 9 : x = 10, y = 76, z = 19

The numbers : 10, 76, 19

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