d Word Problem 3 | Job Exam Rare Mathematics (JEMrare) - Solved MCQs

# 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.

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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 !