SOLUTION: the product of 2 numbers is 126 difference between those 2 numbers is 5.

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Question 468294: the product of 2 numbers is 126 difference between those 2 numbers is 5.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
...and the question is???
What are the two numbers!
Let a, and b be the two numbers, then:
1) a%2Ab+=+126 "The product of 2 numbers is 126."
2) a-b+=+5 "...difference between those 2 numbers is 5."
Rewrite equation 2) as:
2a) a+=+b%2B5 and substitute for a in equation 1).
1a) %28b%2B5%29%2Ab+=+126 Simplify.
1b) b%5E2%2B5b+=+126 Subtract 126 from both sides.
1c) b%5E2%2B5b-126+=+0 Factor the left side.
1d) %28b-9%29%28b%2B14%29+=+0 Apply the "zero product" rule.
1e) b-9+=+0 or b%2B14+=+0 so...
b+=+9 or b+=+-14
If b+=+9 and a+=+b%2B5, then a+=+14
The 2 numbers are:
9 and 14