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Popular Word Problems >

the sum of 3 numbers is 110. the third number is 3 times the second. the first number is 5 more than the second. what are the numbers

Solution

t h e s u m o f 3 n u mb ers i s 110. 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 f i rs t n u mb er i s 5 m ore t han t h e seco n d . w ha t a re t h e n u mb ers

Solution

The numbers : 26, 21, 63

Solution steps

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 110

z = 3 y

x = 5 + y

x + y + z = 110, z = 3 y, x = 5 + y : x = 26, y = 21, z = 63

The numbers : 26, 21, 63

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