SOLUTION: The sum of two numbers is 400. If the first number were decreased by 20% and the second number were decreased by 15%, then the sum would be 68 less. Find the numbers after decreas

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The sum of two numbers is 400. If the first number were decreased by 20% and the second number were decreased by 15%, then the sum would be 68 less. Find the numbers after decreas      Log On


   

Question 1028654: The sum of two numbers is 400. If the first number were decreased by 20% and the second number were decreased by 15%, then the sum would be 68 less. Find the numbers after decreasing.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and 400 - x be the two numbers.
==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.
<==> 0.80x + 0.85(400 - x) = 400 - 68
==> 340 - 0.05x = 332
<==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.