If ratio of Mohan's age to that of his father is 1 : 5. After 10 years, their ages will be in the ratio .of 1:3. What is the father's present age?
Question
If ratio of Mohan's age to that of his father is 1 : 5. After 10 years, their ages will be in the ratio .of 1:3. What is the father's present age?
Solution
Let's solve this step by step:
Step 1: Let's assume the present age of Mohan is x and the present age of his father is 5x (since their age ratio is 1:5).
Step 2: According to the problem, after 10 years, the ratio of their ages will be 1:3. So, we can write this as (x+10)/(5x+10) = 1/3.
Step 3: Cross-multiplying gives us 3x + 30 = 5x + 10.
Step 4: Simplifying this equation gives us 2x = 20.
Step 5: Solving for x, we get x = 10.
Step 6: Substituting x = 10 in 5x gives us the father's present age as 50 years.
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