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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