A sum of Rs. 76 is divided among A, B and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 6 more than what C gets. The ratio of their share is gets. The ratio of their share is = ?

Solution (By Examveda Team)

Let C gets x rupees
∴ B gets x + 6 rupees
∴ A gets x + 6 + 7 rupees
Total A + B + C ⇒ (3x + 19)
⇒ 3x + 19 = Rs. 76
⇒ 3x = 76 - 19
⇒ 3x = 57
⇒ x = 19
A gets = 19 + 13 = Rs. 32
B gets = 19 + 6 = Rs. 25
C gets = Rs. 19
∴ A : B : C
= 32 : 25 : 19