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The ratio of the present ages of two sisters is 1:2 and 5 years back, the ratio was 1:3.What will be the ratio of their ages after 5 years.2 : 53 : 54 : 58 : 5

Question

The ratio of the present ages of two sisters is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years?

2 : 5
3 : 5
4 : 5
8 : 5

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Solution

Let's denote the present ages of the two sisters as X and 2X (since the ratio of their present ages is 1:2).

Five years ago, their ages were (X-5) and (2X-5). According to the problem, the ratio of their ages at that time was 1:3. So, we can write the equation:

(X-5) / (2X-5) = 1/3

Solving this equation will give us the present ages of the two sisters.

After finding the present ages, we can then add 5 to each to find their ages in 5 years. The ratio of their ages at that time will be the answer to the problem.

Let's solve the equation:

Cross multiplying gives us 3X - 15 = 2X - 5

Solving for X gives X = 10

So, the present ages of the sisters are 10 and 20.

In 5 years, their ages will be 15 and 25.

Therefore, the ratio of their ages in 5 years will be 15:25, which simplifies to 3:5.

This problem has been solved

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