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Popular Word Problems >

The sum of three numbers is 116. The third number is 3 times the second. The second number is 6 less than the first. What are the numbers

Solution

T h e s u m o f t h ree n u mb ers i s 116. T h e t hi r d n u mb er i s 3 t im es t h e seco n d . T h e seco n d n u mb er i s 6 l ess t han t h e f i rs t . Wha t a re t h e n u mb ers

Solution

The numbers : 28, 22, 66

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 116

z = 3 y

y = x - 6

x + y + z = 116, z = 3 y, y = x - 6 : x = 28, y = 22, z = 66

The numbers : 28, 22, 66

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