The sum of two numbers exceeds their product by one.Their difference is equal to their products less five .Find the two numbers
1 answer:
Answer:
1 and 3
Step-by-step explanation:
If the two numbers are x and y, then:
x + y = xy + 1
x − y = xy − 5
Subtract the two equations:
(x + y) − (x − y) = (xy + 1) − (xy − 5)
x + y − x + y = xy + 1 − xy + 5
2y = 6
y = 3
Solve for x:
x + 3 = 3x + 1
2 = 2x
x = 1
The numbers are 1 and 3.
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