Q45.
The sum of three mumbers in AP is 15 and their product is 80. Find the numbers.
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Step-by-step explanation:
let the numbers be a-d, a, a+d
sum of the numbers is 15
a - d + a + a + d = 15
3a = 15
a = 15/3 = 5
product of the numbers is 80
(a - d)(a)(a+d) = 80
(5 - d) × 5 × (5 + d) = 80
(5 - d)(5 + d) = 80/5
5^2 - d^2 = 16
25 - d^2 = 16
- d^2 = 16 - 25
- d^2 = - 9
d^2 = 9
d = √9 = 3
a = 5, d = 3
therefore the numbers are
a - d = 5 - 3 = 2
a = 5
a + d = 5 + 3 = 8
2, 5, 8
verification
sum of the numbers is 15
2 + 5 + 8 = 15
product of the numbers is 80
= 2 × 5 × 8
= 10 × 8
= 80
hope you get your answer
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