The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’s current age is?
Question
The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’s current age is?
Solution
Let's solve this step by step:
Step 1: Let's assume the current ages of Sonali and Monali are 5x and 3x years respectively.
Step 2: According to the problem, five years from now, the ratio of their ages will be 10:7. So, we can write it as:
(5x + 5) / (3x + 5) = 10 / 7
Step 3: Cross-multiplying to solve for x, we get:
7*(5x + 5) = 10*(3x + 5)
35x + 35 = 30x + 50
Step 4: Simplifying, we get:
35x - 30x = 50 - 35
5x = 15
Step 5: Solving for x, we get:
x = 15 / 5
x = 3
Step 6: Substituting x = 3 in the expression for Monali's age, we get:
Monali's current age = 3x = 3*3 = 9 years.
So, Monali is currently 9 years old.
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