The sum of three numbers in AP is 27 and
their product is 405. Find the common
difference.
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2
Answer:
Step-by-step explanation:
Answer is= 3,9,15
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The sum of three numbers in AP is 27 and
their product is 405.
Given,
Let the numbers in AP be, a - d, a, a + d
Sum of the numbers is 27
a - d + a + a + d = 27
3a = 27
a = 9
Product of the numbers is 405
a - d × a × a + d = 405
9 - d × 9 × 9 + d = 405
(9² - d²) × 9 = 405
(81 - d²) × 9 = 405
81 × 9 - d² × 9 = 405
729 - 9d² = 405
729 - 405 = 9d²
324 = 9d²
d² = 36
d = 6
Therefore, the common difference is 6.
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