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Radha is twice as old as Rita was 2 years ago. Ifdifference between their ages is 2 years, how old isRadha today?

Question

Radha is twice as old as Rita was 2 years ago. If the difference between their ages is 2 years, how old is Radha today?

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Solution

Let's solve this step by step:

Step 1: Let's assume Rita's current age is x years.

Step 2: According to the problem, Radha is twice as old as Rita was 2 years ago. So, Radha's current age is 2*(x-2) years.

Step 3: The problem also states that the difference between their ages is 2 years. So, we can set up the following equation: 2*(x-2) - x = 2.

Step 4: Simplify the equation: 2x - 4 - x = 2.

Step 5: Further simplify: x - 4 = 2.

Step 6: Solve for x: x = 2 + 4 = 6.

So, Rita is 6 years old.

Step 7: Substitute x = 6 into the equation for Radha's age: 2*(6-2) = 8.

So, Radha is 8 years old.

This problem has been solved

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