Question

the sum of 3 number in an A. P is 27 the product of first and last number is 65 find the numbers​

Answer 1

Answer:

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

The sum of three number in A.P. is 27.

a - d + a + a + d = 27

3a = 27

a = 9

The product of first and last is 56.

(a - d)(a + d) = 56

a2 - d2 = 56

92 - d2 = 56

d2 = 81 - 56 = 25

d = ± 5

Then the numbers are 4, 9, 14 or 14, 9, 4.

Answer 2

the answer is 9

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