The product of two natural number is 660 and their difference is 8. Find the numbers.
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Assume the numbers are x, and y.
x+y=40. This would mean that x=40-y. The second condition is that x-y=10. Rewrite that to include what x is now known to be equal to, and you get 40–2y=10
40 -40 -2y=10 -40
-2y=-30
y=15
Now replace y in the first equation, and that becomes x+15=40.
x+15 -15 =40 -15
x=25
…and 25–15=10
The two numbers are 25 and 15.
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