The ratio of present ages of A and B is 6: 7. Five years hence, this ratio would become 7: 8. Find the present age of A and B.Question Description : 33 years34 years30 years35 years
Question
The ratio of present ages of A and B is 6: 7. Five years hence, this ratio would become 7: 8. Find the present age of A and B.Question Description : 33 years34 years30 years35 years
Solution
Let's solve this step by step:
Step 1: Let's assume the present ages of A and B are 6x and 7x respectively.
Step 2: According to the problem, in five years, the ratio of A's age to B's age will be 7:8. So, we can write this as (6x + 5) / (7x + 5) = 7/8.
Step 3: Cross-multiplying to solve for x, we get 8*(6x + 5) = 7*(7x + 5).
Step 4: Simplifying this, we get 48x + 40 = 49x + 35.
Step 5: Solving for x, we get x = 5.
Step 6: Substituting x = 5 in the expressions for A and B's present ages, we get A = 6x = 30 years and B = 7x = 35 years.
So, the present age of A is 30 years and the present age of B is 35 years.
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