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The ratio of the ages of Ram and Rahim 10 years ago was 1 : 3. The ratio of their ages 5 Years hence will be 2 : 3. Then, the ratio of their present ages is?Options2 : 53 : 51 : 23 : 4

Question

The ratio of the ages of Ram and Rahim 10 years ago was 1 : 3. The ratio of their ages 5 Years hence will be 2 : 3. Then, the ratio of their present ages is?Options2 : 53 : 51 : 23 : 4

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Solution

Let's solve this step by step:

Step 1: Let's assume the ages of Ram and Rahim 10 years ago were x and 3x respectively.

Step 2: According to the problem, the ratio of their ages 5 years from now will be 2:3. This means that (x+10+5)/(3x+10+5) = 2/3.

Step 3: Simplifying the equation from step 2, we get 3x + 45 = 2(3x + 15), which simplifies to 3x + 45 = 6x + 30.

Step 4: Solving for x, we get x = 5.

Step 5: So, the present ages of Ram and Rahim are x+10 = 15 and 3x+10 = 25 respectively.

Step 6: Therefore, the ratio of their present ages is 15:25, which simplifies to 3:5.

So, the answer is 3:5.

This problem has been solved

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