The sum of three numbers is 125. The second number is 3 times the third. The third number is 5 less than the first. What are the numbers

Question

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Answer 1

Let x = first number

     y = second number

     z = third number

 

Then, x+y+z = 125

                 y = 3z

                 z = x-5

 

So, y = 3(x-5) = 3x-15

 

x + y + z = x + (3x-15) + (x-5) = 125

 

                                    5x - 20 = 125

 

                                           5x = 145     x = 29

                                                             y = 3x-15 = 72

                                                             z = x-5 = 24