Q. 73.7( 14 Votes )

The sum of three numbers in AP is 3 and their product is - 35. Find the numbers.

Answer :

Let the numbers be (a - d), a, (a + d).

Now, sum of the numbers = 15


(a - d) + a + (a + d) = 3


3a = 3


a = 1


Now, product of the numbers = - 35


(a - d) × a × (a + d) = - 35


a3 - ad2 = - 35


Put the value of a, we get,


1 - d2 = - 35


d2 = 35 + 1 = 36


d2 = 36


d = 6


If d = 6, then the numbers are - 5, 1, 7.


If d = - 6, then the numbers are 7, 1, - 5.


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