Question

If (11X + 9) : (46X + 113) is the triplicate ratio for 4: 7 find X³

1. 64
2. 125
3. 216
4. 27

Answer 1

Correct Answer - Option 2 : 125

Given:

(11X + 9) : (46X + 113)

Triplicate ratio = 4: 7

Calculation:

(11X + 9)/ (46X + 113) = (4/ 7)³

⇒ (11X + 9)/ (46X + 113) = 64/ 343

⇒ (11X + 9) × 343 = (46X + 113) × 64

⇒ 3773X + 3087 = 2944X + 7232

⇒ 829X = 4145

⇒ X = 5

X³ = 125

∴ required answer is 125