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Popular Word Problems >

The sum of three numbers is 137 . The second number is 4 more than two times the first number. The third number is 5 less than three times the first number. Find the three 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 4 m ore t han tw o t im es t h e f i rs t n u mb er . T h e t hi r d n u mb er i s 5 l ess t han t h ree t im es t h e f i rs t n u mb er . F in d t h e t h ree n u mb ers

Solution

The numbers : 23, 50, 64

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 = 4 + 2 x

z = 3 x - 5

x + y + z = 137, y = 4 + 2 x, z = 3 x - 5 : x = 23, y = 50, z = 64

The numbers : 23, 50, 64

Popular Examples

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