Multiple choice

180 sweets are divided among friends A, B, C and D in which B and C are brothers also, such that sweets divided between A and B are in the ratio 2 : 3, between B and C in the ratio 2 : 5 and between C and D in ratio 3 : 4. What is the number of sweets received by the brothers together?

  1. 84

  2. 74

  3. 64

  4. 88

  5. 86

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A=2x, B=3x from A:B=2:3. From B:C=2:5, C = 5*(3x/2) = 7.5x. From C:D=3:4, D = 4*(7.5x/3) = 10x. Total: 2x+3x+7.5x+10x = 22.5x = 180, so x=8. Brothers B+C = 3x+7.5x = 10.5*8 = 84.