The ratio of the present ages of Ajay and Rajveer is 7 : 4 respectively. After three years the ratio of their ages will be 5 : 3 respectively. Find the present age of Ajay.
Question
The ratio of the present ages of Ajay and Rajveer is 7 : 4 respectively. After three years the ratio of their ages will be 5 : 3 respectively. Find the present age of Ajay.
Solution
Let's solve this step by step:
Step 1: Let's assume the present age of Ajay is 7x and the present age of Rajveer is 4x.
Step 2: According to the problem, after three years the ratio of their ages will be 5 : 3. So, we can write it as (7x + 3) / (4x + 3) = 5 / 3.
Step 3: Cross multiply to simplify the equation: 21x + 9 = 20x + 15.
Step 4: Rearrange the equation to find the value of x: 21x - 20x = 15 - 9, which simplifies to x = 6.
Step 5: Substitute x = 6 in the expression for Ajay's age: 7x = 7*6 = 42.
So, the present age of Ajay is 42 years.
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