Question

Three numbers a,b,c arein the ratio1/2:2/3:3/4and their sum is 276find the numbers

Answer 1

Answer:

72,96 and 108 respectively

Step-by-step explanation:

a : b : c = 1/2 : 2/3 : 3/4

Let a = 1/2*k , b = 2/3*k and c = 3/4*k    where k is an rational number.

given

a + b + c = 276

⇒ k/2 + 2k/3 + 3k/4 = 276

⇒ k (1/2 + 2/3 + 3/4) = 276

⇒ k (23/12) = 276

⇒ k = 276*12/23 = 144

k = 144

∴ a = k/2 = 144/2 = 72

  b = 2k/3 = 2*144/3 = 96

  c = 3k/4 = 3*144/4 = 108