The sum of two numbers is 400.If the first number is decreased by 20% and the second number is decreased by 15%, than the sum would be 68 less. Find the numbers after the decrease.

1 answer

a + b = 400 ... .8 a + .8 b = 320

.8 a + .85 b = 400 - 68 = 332

subtracting equations (to eliminate a) ... .05 b = 12

multiplying by ... .85 / .05 ... .85 b = 204

substitute back to find .8 a