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olga2289 [7]
3 years ago
9

The sum of two numbers exceeds their product by one.Their difference is equal to their products less five .Find the two numbers

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

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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