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
A receives half of what B and C get together;
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’