# Word Problem 5

**Problem 5: Divide Rs 420 among A, B and C so that A may receive 1/2 as much as B and C together and 2/3 of what A and C together receive.**

**a) 140, 168, 112 b) 150, 158, 112 c) 140, 170, 110 d) 240, 68, 112**

**Solution: **

Here,

1st Condition:

A receives half of what B and C get together;

i-e

2nd Condition:

B receives two third of what A and C get together;

————————————-

From 1st condition we can say;

Using share formula;

From 2nd condition we can say;

As the amount of Rs 420 is being divided among A, B and C, So, sum of their shares should be equal to 420!

Put values of A’s share and B’s share in eq(1)

So, the correct option is ‘c’