Two sets A and B each have three numbers in A.P., each summing to 15. Their common differences D and d satisfy D − d = 1 , d 0 . If p and q are the respective products of the numbers in A and B, p/q

Question

Two sets A and B each have three numbers in A.P., each summing to 15. Their common differences D and d satisfy D − d = 1 , d > 0 . If p and q are the respective products of the numbers in A and B, p/q=7/8. Find D+d.

TestHub · Accepted Answer

The product ratio yields 8 ( 25 − ( d + 1 ) 2 ) = 7 ( 25 − d 2 ) , so d 2 + 16 d − 17 = 0 . Since d > 0 , d = 1 ; D = 2 and D + d = 3 .

Mathematics - Sequence & Series Question with Solution | TestHub

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