Present age ratio of A and B is 2 : 3. After 12 years their age ratio will be 3 : 4. Find the present age of A.
Question
Present age ratio of A and B is 2 : 3.
After 12 years their age ratio will be 3 : 4.
Find the present age of A.
Solution
Let's solve this step by step:
Step 1: Let's assume the present age of A is 2x and the present age of B is 3x.
Step 2: According to the problem, after 12 years, the ratio of A's age to B's age will be 3:4. So, we can write this as (2x + 12) / (3x + 12) = 3/4.
Step 3: Cross multiply to solve for x. This gives us 4*(2x + 12) = 3*(3x + 12).
Step 4: Simplify this to get 8x + 48 = 9x + 36.
Step 5: Rearrange the equation to find the value of x. This gives us x = 12.
Step 6: Substitute x = 12 into the equation for A's present age (2x). This gives us 2*12 = 24.
So, the present age of A is 24 years.
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