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Algebra

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.

Profile image of sourav gill
17 Years agoGrade
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1 Answer

Profile image of raj kaushik
17 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.