Question

A sum of rs.427 is to be divided among a,b,c such a way that 3 times of a's share ,4 times of b's share and 7 times of c's share are all equal.Find the share of each

Answer 1

Answer:

The way it is divided would be: a=196; b = 147 and c =84

Step-by-step explanation:

Let a, b and c be the shares. We are given

a + b + c = 427, and

3a = 4b = 7c

The idea is to express, all the variables in terms of just one, so that we have one equation in one unknown. Let us express all in terms of "c"

3a = 4c => a = (7/3)*c

4b = 7c => b = (7/4)*c

Using the fact that a + b + c = 427, we get

(7/3)*c + (7/4)*c + c = 427

Using 12 as the common denominator, we get:

(28c + 21c + 12c)/12 = 427

61c = 427 * 12

c = (427*12)/61

=> c = 84

a = (7/3)*c = (7/3)*84 = 196

b = (7/4)*c = (7/4)*84 = 147

The division would be: a=196; b= 147 and c = 84

Verify

3a = 588

4b = 588

7c = 588