Question

Find three numbers in AP whose sum u 15 and the sum of their
Products in pair is 71.​

Answer 1

CORRECT QUESTION.

Find three number of ap whose sum is 15 and products is 80

EXPLANATION.

Let three number in Ap =

a - d, a, a + d

sum of the number is = 15

a - d + a + a + d = 15

3a = 15

a = 5

products of the number = 80

( a - d) a ( a + d) = 80

( a^2 - d^2 ) a = 80

( 25 - d^2 ) 5 = 80

25 - d^2 = 16

- d^2 = -9

d = 3 or d = -3

Therefore,

The number are

a - d = 5 - 3 = 2

a = 5

a + d = 5 + 3 = 8

Number are = 2,5,8 or 8,5,2