SOLUTION: The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expre

Algebra ->  Linear-equations -> SOLUTION: The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expre      Log On


   



Question 291188: The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
Which three expressions could be used to represent the numbers?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
SECOND=FIRST-4
THIRD=4FIRST.
FIRST=THIRD/4 OR SECOND+4
F+S+T=62
F+F-4+4F=62
6F=62+4
6F=66
F=66/6
F=11 ANS. FOR THE FIRST NUMBER.
SECOND=11-4=7 ANS. FOR THE SECOND NUMBER.
THIRD=4*11=44 ANS. FOR THE THIRD NUMBER.
PROOF:
11+7+44=62
62=62