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