Question

Ravi has Rs 3 more than Ramu, but then Ramu wins on the horses and triples his money so that he now has Rs 2 more than the original amount of money that the two boys had between them. How much money did Ravi and Ramu have between them before Ramu's win?

• A. Rs 9
• B. Rs 11
• C. Rs 13
• D. Rs 15

Hint:

Let Ramu's money be x, write Ravi's as x + 3, then use "tripled Ramu's money = original total + 2".

Answer 1

The Correct Option is C

Step 1: Set up variables for the original amounts.
Let Ramu originally have x rupees. Since Ravi has Rs 3 more than Ramu, Ravi has (x + 3) rupees.
The original total money the two boys had between them is x + (x + 3) = 2x + 3.

Step 2: Translate the tripling condition into an equation.
After Ramu triples his money, he has 3x rupees. This new amount is Rs 2 more than the original total of both boys, so:
3x = (2x + 3) + 2
3x = 2x + 5
x = 5.

Step 3: Find the original total.
Ramu originally had x = 5 rupees, so Ravi originally had x + 3 = 8 rupees.
Original total = 5 + 8 = 13 rupees.

Step 4: Check the other options.
Rs 9, Rs 11 and Rs 15 do not satisfy 3x = 2x + 5 for a whole-number x that also keeps Ravi Rs 3 ahead of Ramu, so they fail the condition on verification.

Final Answer:
Ravi and Ramu had Rs 13 between them before Ramu's win. \[ \boxed{Rs\ 13} \]