SOLUTION: The sum of three numbers is 254. the second is 3 times the first, and the third is 5 less than the second. Find the numbers?

Algebra ->  Equations -> SOLUTION: The sum of three numbers is 254. the second is 3 times the first, and the third is 5 less than the second. Find the numbers?      Log On


   



Question 452026: The sum of three numbers is 254. the second is 3 times the first, and the third is 5 less than the second. Find the numbers?
Answer by pperoh(1) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of 3 numbers is 254
show: a + b + c = 254
The second is 3 times the first, and the third is 5 less than the second
one way to solve (in terms of a):
a + 3a + 3a-5 = 254
The first number a is equal to 37
The 2nd number is 3 times 37 = 111
The 3rd number is 5 less than the second 111-5 = 106
Check (proof)
37 + 111 + 106 ?? (is it equal to ???) 254
yes 37 + 111 + 106 = 254