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Popular Word Problems >

The sum of three numbers is 81. The third number is 2 times the first. The second number is 7 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 81. T h e t hi r d n u mb er i s 2 t im es t h e f i rs t . T h e seco n d n u mb er i s 7 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 : 22, 15, 44

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 81

z = 2 x

y = x - 7

x + y + z = 81, z = 2 x, y = x - 7 : x = 22, y = 15, z = 44

The numbers : 22, 15, 44

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