Question

A certain sum is divided among A , B and C in such a way that A gets ₹15 less than 1/4th of the sum, B gets ₹34 more than 3/5th of the sum and C gets ₹185.
Total sum ???​

Answer 1

Answer:

Let the sum be 's'

A gets 'a', B gets 'b', C gets 'c' share of 's'

=> a + b + c = s

a = s/4 -15 -(1)

b = 3s/5 + 34 -(2)

c = 185 -(3)

Now, s = a + b + c (given)

From (1), (2), (3)

s = s/4 - 15 + 3s/5 + 34 + 185

s - s/4 - 3s/5 = -15 + 34 + 185

s(20 - 5 -12)/20 =  204

s(3/20) = 204

s = (204 x 20) /3

s = 1360