SOLUTION: If one number exceeds another number by 3 and the square of the larger exceeds the square of the smaller by 99, what are the numbers?

Question 726429: If one number exceeds another number by 3 and the square of the larger exceeds the square of the smaller by 99, what are the numbers?
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
Call the numbers x and y.

Condition 1: x=y+3. Condition 2:

Substitute x=y+3 into the second equation:

---> (subtract y squared from both sides and subtract 9 from both sides): 6y = 90 ---> y = 15.

x = 15+ 3 = 18

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