Question

The product of three numbers in A.P. is 224, and the largest number is 7 times the smallest. Find the numbers.

Answer 1

Answer:

let 3 numbers be a -d,a , a+d

Now,a+d =7(a-d).....(1)

; 6a = 8d .....(2)

and (a-d)(a)(a+d) = 224

;(4d/3) (7d/3) (d/3) = 224....from (1) and (2)

; d = 6, a = 8

therefore ,Numbers are 2,8,14

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