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Popular Word Problems >

The sum of three numbers is 71 . The second number is 7 more than the first. The third number is 2 times the first. What are the numbers?

Solution

T h e s u m o f t h ree n u mb ers i s 71 . T h e seco n d n u mb er i s 7 m ore t han t h e f i rs t . T h e t hi r d n u mb er i s 2 t im es t h e f i rs t . Wha t a re t h e n u mb ers ?

Solution

The numbers : 16, 23, 32

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 71

y = 7 + x

z = 2 x

x + y + z = 71, y = 7 + x, z = 2 x : x = 16, y = 23, z = 32

The numbers : 16, 23, 32

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