Reena is twice as old as Radhika was two years ago.If the difference between their ages be 2 years, how old is reena today?6 years7 years8 years10 years
Question
Solution
Let's denote Reena's current age as R and Radhika's current age as r.
From the problem, we know two things:
- Reena is twice as old as Radhika was two years ago. This can be written as: R = 2*(r-2)
- The difference between their ages is 2 years. This can be written as: R - r = 2
Now we can solve these two equations step by step:
First, substitute the first equation into the second: 2*(r-2) - r = 2 This simplifies to: 2r - 4 - r = 2 Further simplification gives: r = 6
Substitute r = 6 into the first equation: R = 2*(6-2) = 8
So, Reena is 8 years old today.
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