The ratio of ages of John and David is 3:4. Four years ago, the ratio of their ages was 2:3. How old is David now?

Question

The ratio of ages of John and David is 3:4. Four years ago, the ratio of their ages was 2:3. How old is David now?
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Solution 1

Let's denote the current ages of John and David as 3x and 4x respectively.

Four years ago, John was 3x - 4 years old and David was 4x - 4 years old. According to the problem, the ratio of their ages at that time was 2:3.

So, we can set up the equation (3x - 4) / (4x - 4) = 2 / 3.

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