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?Options3 : 51 : 23 : 42 : 5
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?Options3 : 51 : 23 : 42 : 5
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+15)/(3x+15) = 2/3.
Step 3: Solving this equation, we get 3x + 45 = 6x + 30. Simplifying, we get 3x = 15, so x = 5.
Step 4: So, the present ages of Ram and Rahim are x+10 = 15 and 3x+10 = 25 respectively.
Step 5: Therefore, the ratio of their present ages is 15:25, which simplifies to 3:5.
So, the correct option is 3:5.
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