Question

A father distributed a certain number of marbles among his three Sons i.e., P Q and R. For every 5 marbles that P received , Q received 4 marbles for every 3 marbles that Q received, R received 2 marbles. P Received 9 marbles more than Q. Find the number of marbles R received

Answer 1

total number of marbles are 23

Answer 2

Define x:

Let the number of marbles P has be x

⇒ p = x

For every 5 marbles that P received , Q received 4 marbles:

⇒ Q received 4/5 of what P received

⇒ Q = 4x/5

For every 3 marbles that Q received, R received 2 marbles:

⇒ R received 2/3 of what Q received

⇒  R = 2/3 ( 4x/5) = 8x/15

Solve x:

Given that P Received 9 marbles more than Q:

x - 9 = 4x/5

5(x - 9) = 4x

5x - 45 = 4x

x = 45

Find the number of marbles R received:

R = 8x/15 = 8(45)/15 = 24

Answer: R received 24 marbles.