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Popular Word Problems >

The sum of three numbers is 137. The second number is 5 more than the first. The third number is 4 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 137. T h e seco n d n u mb er i s 5 m ore t han t h e f i rs t . T h e t hi r d n u mb er i s 4 t im es t h e f i rs t . Wha t a re t h e n u mb ers ?

Solution

The numbers : 22, 27, 88

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 137

y = 5 + x

z = 4 x

x + y + z = 137, y = 5 + x, z = 4 x : x = 22, y = 27, z = 88

The numbers : 22, 27, 88

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