Three times the smallest of three consecutive odd numbers decreased by 7 equals twice the largest one. Find the numbers.

Question

This is question from 8th class book chapter Linear Equations.

Answer 1

Consecutive odd numbers (x=smallest):  x, x+2, x+4  

 

3x-7  =  "three times the smallest … decreased by 7"

2(x+4) =  "twice the largest"

 

These two things are equal:   3x-7 = 2(x+4)

 

 

3x-7 = 2x+8

x = 15

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Ans:  the 3 numbers are 15, 17, and 19

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Check:  3(15)-7 = 45-7 = 38

            2(19)  = 38   √