If the age of Paul was three times the age of John 10 years ago, then, what will be the ratio of their present ages, if, after 10 years, Paul's age will be twice John's?
Question
If the age of Paul was three times the age of John 10 years ago, then, what will be the ratio of their present ages, if, after 10 years, Paul's age will be twice John's?
Solution
Sure, let's solve this step by step:
Step 1: Let's assume the present age of John is J and the present age of Paul is P.
Step 2: According to the problem, 10 years ago, Paul was three times as old as John. So, we can write this as: P - 10 = 3(J - 10)
Step 3: The problem also states that in 10 years, Paul will be twice as old as John. So, we can write this as: P + 10 = 2(J + 10)
Step 4: Now we have two equations, and we can solve them simultaneously to find the values of P and J.
Step 5: After finding the values of P and J, we can find the ratio of their present ages, which is P:J.
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