SOLUTION: One number is 6 less than another number. The product of the smaller number and 3 more than the larger number is 10. Find both numbers.

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Question 907285: One number is 6 less than another number. The product of the smaller number and 3 more than the larger number is 10. Find both numbers.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest way to do this is to look at the factors of 10
{10,1} {5,2}
B * (A+3) = 10
The possible solutions are 1x10 or 2x5
Subtract the 3 and the sets are {1,7} and {2,2}
Since the first part of the question says that the smaller number is 6 less than the larger, only the first set fits.
Answer: 1,7