If two times A is equal to three times B and also equal to four times of C, then A : B : C is:

by

(A) 2:3:5
(B) 3:4:1
(C) 4:6:2
(D) 6:4:3 

🧠 Explanation:

  • Given: 2A = 3B = 4C
  • Let the common value be x ⇒ A = x/2, B = x/3, C = x/4
  • To find A : B : C, divide each by x: (1/2) : (1/3) : (1/4)
  • Take LCM of denominators (2, 3, 4) = 12 ⇒ Multiply all by 12
  • (1/2)×12 = 6, (1/3)×12 = 4, (1/4)×12 = 3

Correct Answer: (D) 6:4:3