Question

5. The sum of three integers in AP is 15 and their product is 80. The integers are
(a) 2, 8,5
(6) 8, 2,5 -
62,5, 8
(d) 8,5,2​

Answer 1

Answer:

(d) 8,5,2

Step-by-step explanation:

the commom difference is (-3)

Answer 2

Answer:

8, 5, 2 or 2, 8, 5

Step-by-step explanation:

Let integers be (a - d), a, (a + d), where d is the common difference

According to question

Sum of three integers is 15

∴ (a - d) + a + (a + d) = 15

3a = 15

a = 5

Also, Product is 80

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

putting value of a = 5

(5 - d) (5) (5 + d) = 80

(5 - d) (5 + d) = 80/5

25 - d² = 16                [ (x + y)(x - y) = x²- y²]

d² = 9

d = ± 3

Hence integers are

( 5 - 3) (5) (5 + 3) or 2, 5, 8  [When d = 3]

OR

(5 + 3) (5) (5 - 3) or 8, 5, 2 [When d = -3]