Ratio of present ages of P and Q are 7:3. After four years their ages will be in the ratio 2:1. Then the present age of P (in years) is?
Question
Ratio of present ages of P and Q are 7:3. After four years their ages will be in the ratio 2:1. Then the present age of P (in years) is?
Solution
Let's solve this step by step:
Step 1: Let's assume the present ages of P and Q are 7x and 3x respectively.
Step 2: According to the problem, after four years their ages will be in the ratio 2:1. So, we can write it as (7x+4)/(3x+4) = 2/1.
Step 3: Solving this equation, we get 7x + 4 = 2*(3x + 4), which simplifies to 7x + 4 = 6x + 8.
Step 4: Subtracting 6x from both sides, we get x = 4.
Step 5: Substituting x = 4 in 7x, we get the present age of P = 7*4 = 28 years.
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