Asked by Allia
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?
Answers
Answered by
Reiny
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
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
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