SOLUTION: The sum of two numbers is 77. If the first number is multiplied by 4 and the second is multiplied by 2, the sum is 286. What are the two numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is 77. If the first number is multiplied by 4 and the second is multiplied by 2, the sum is 286. What are the two numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 658494: The sum of two numbers is 77. If the first number is multiplied by 4 and the second is multiplied by 2, the sum is 286. What are the two numbers?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=77 OR
X=77-Y
4X+2Y=286
4(77-Y)+2Y=286
308-4Y+2Y=286
-2Y=286-308
-2Y=-22
Y=11 ANS. FOR THE SMALLER NUMBER.
X+7=77
X=7711
X=66 ANS. FOR THE LARGER NUMBER.
PROOF:
4*66+2*11=286
264+22=286
286=286