SOLUTION: Find three postive integers whose sum is 25 and whose product is 540

Question 325524: Find three postive integers whose sum is 25 and whose product is 540
Answer by info@email-tutors.com(9) (Show Source): You can put this solution on YOUR website!
The answer to your question is 9, 6, and 10
Here is why:
You are seeking three numbers: a, b, and c that when added yield 25 and when multiplied yield 540
To solve this problem, find the factors of 540:
90 * 6 (These are only two numbers, we are looking for three numbers)
which factors down to: 9 * 10 * 6
which factors down to the prime factors: 3 * 3 * 5 * 2 * 3 *2
There are 6 prime factors, so they can not be the answer (we are only looking for three numbers)
Therefore, it seems that 9 * 10 * 6 are the only three sets of numbers that coincide with what you are seeking.
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