Rs 53 are divided among A, B and C such that A gets Rs 7 more than B a

1.	Rs 53 are divided among A, B and C such that A gets Rs 7 more than B and B gets Rs 8 more than C. What is the ratio of their shares ? (a) 16 : 9 : 18 (b) 25 : 18 : 10 (c) 18 : 25 : 10 (d) 15 : 8 : 30
Answer» (b) 25 : 18 : 10 Given, A + B + C = 53 … (i) Also, A = B + 7 and B = C + 8 ∴ From (i), we get (B + 7) + B + (B – 8) = 53 ⇒ 3B = 54 ⇒ B = 18 ⇒ A = 25 and C = 10 ∴ A : B : C = 25 : 18 : 10

Rs 53 are divided among A, B and C such that A gets Rs 7 more than B and B gets Rs 8 more than C. What is the ratio of their shares ? (a) 16 : 9 : 18 (b) 25 : 18 : 10 (c) 18 : 25 : 10 (d) 15 : 8 : 30

Answer»

(b) 25 : 18 : 10

Given, A + B + C = 53 … (i)

Also, A = B + 7 and B = C + 8

∴ From (i), we get (B + 7) + B + (B – 8) = 53

⇒ 3B = 54 ⇒ B = 18

⇒ A = 25 and C = 10

∴ A : B : C = 25 : 18 : 10