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Question

Three numbers are in A.P. If the sum of these numbers be 27 and the product 648, find the numbers.


Solution

Let the 3 numbers in A.P. are
a - d, a, a + d
Then,
ad+a+a+d=273a=27
a=9(i)
and (ad)(a)(a+d)=648
(9d)(9)(9d)=648       [a=9]
92d2=72d2=9d=±3(ii)
When a = 9, d = 3, we have, 6, 9, 12
When a = 9, d = -3, we have, 12, 9, 6


Mathematics
RD Sharma
Standard XI

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