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Rules 1. Time yourself 2. Work your solution on a seperate [#permalink]

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10 Mar 2004, 20:23

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Rules

1. Time yourself
2. Work your solution on a seperate sheet of paper
3. write your solution here , and your time please.

If the square root of the product of three distinct positive
integers is equal to the largest of the three numbers, what is the
product of the two smaller numbers?

(1) The largest number is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3

1. Time yourself 2. Work your solution on a seperate sheet of paper 3. write your solution here , and your time please.

If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?

(1) The largest number is 12. (2) The average (arithmetic mean) of the three numbers is 20/3

The only distinct positive integers that satisfy the requirement that their sum = 20, and that the largest integer = the product of the other 2 integers are 6, 2 and 12.

If you try other combinations, you'll find that they don't sum to 20. Example: a=3; b=4 ; ab = c = 12 but 3 + 4 + 12 <> 20. Same with 8, 2 and 16.