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Plz solve this Question!!! The sum of the three numbers in A.P is 21 and the product of their extremes is 45. Find the numbers.

Plz solve this Question!!!


The sum of the three numbers in A.P is 21 and the product of their extremes is 45. Find the numbers.

Grade:

1 Answers

raj kaushik
26 Points
12 years ago

Let the numbers are be a - d, a, a + d

Then a - d + a + a + d = 21

3a = 21

a = 7

and (a - d)(a + d) = 45

a2 - d2 = 45

d2 = 4

d = +2

Hence, the numbers are 5, 7 and 9 when d = 2 and 9, 7 and 5 when d = -2. In both the cases numbers are the same.

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