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 : 53 : 54 : 58 : 5
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.
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