Question

the product of 3 numbers in an AP is 224 and the largest is 7 times the smallest .find the numbers ​

Answer 1

Answer:2,8,14

Step-by-step explanation:

Let 3 numbers be a−d,a,a+d

Now, a+d=7(a−d)......(i)

⇒6a=8d......(ii)

&(a−d)(a)(a+d)=224

⇒(  4d/3)(  7d/3)(d/3)=224.........from(i) and (ii)

⇒d=6,a=8

∴ Numbers are 2,8,14

Answer 2

Answer:

the numbers are 2, 8 and 14.

Step-by-step explanation:

let the smallest number is 'x'.

then largest number be '7x'.

let the middle number is 'y'.

Since numbers are in A.P.

Therefore, 2y = x + 7x

y = 4x

Given, x × y × 7x = 224

x × 4x × 7x = 224

28x^3 = 224

x^3 = 8

x = 2.