# SOLUTION: find three numbers in arithmetic progression whose sum is 21 and whose product is 180?

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 Click here to see ALL problems on Sequences-and-series Question 192687: find three numbers in arithmetic progression whose sum is 21 and whose product is 180?Answer by solver91311(18785)   (Show Source): You can put this solution on YOUR website! If the arithmetic progression has a common difference of d, and the first of the three numbers is x, then the second number must be x + d and the third, x + 2d. So if the sum is 21, then: is the first number, is the second number, and is the third number. Now, if the product is 180, then: Rationalizing the denominator: and the three numbers are: , , and . John