x+y=64 ---->y = 64-x
xy = 735
x(64-x) = 735
64x - x^2 - 735 = 0
x^2 - 64x + 735 = 0
(x-49)(x-15) = 0
x = 49 or x = 15
One is 49, the other is 15
Alice is thinking of two numbers. When she adds them she gets 64. When she multiplies them she gets 735. What are her two numbers?
1 answer