Word Problem 3
Problem 3: Divide Rs 1050 among A, B and C so that B’s share may be 2/3 of C’s share and A may get half as much as B and C together.
Solution:
Here,
1st Condition:
B’s share is equal to two third of C’s share;
i-e
2nd Condition:
A receives share equal to half of what B and C get together;
i-e
From 2nd condition we can say;
Applying share formula;
Again,
Or we can write;
Put value of B from eq(1) in eq(2)
Put this value of C in eq (1)
So , we calculated shares of A, B and C as 350, 280 and 420 respectively !