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?
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.
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