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 the smallest number is x

so the largest number is 7x

the middle number is (x+7x)/2=8x/2=4x

so, x.4x.7x=224

=> 28x^3=224

=> x^3=224/28=8

=> x^3=2^3

=> x=2

so the smallest number is 2

middle number is 2×4=8

largest number is 7×2=14

the series is

2,8,14