Let's denote Peter's current age as P and Paul's current age as Q.

From the problem, we have two equations:

1) P = 3Q (Peter is three times as old as Paul)

2) P + 5 = 2(Q + 5) (In five years, Peter's age will be twice that of Paul's age)

Now, we can solve these equations step by step:

Step 1: Substitute equation 1) into equation 2):

3Q + 5 = 2(Q + 5)

Step 2: Simplify the equation:

3Q + 5 = 2Q + 10

Step 3: Subtract 2Q from both sides:

Q = 5

Step 4: Substitute Q = 5 into equation 1):

P = 3 * 5 = 15

So, Peter is 15 years old and Paul is 5 years old.

Question

Let's denote Peter's current age as P and Paul's current age as Q.

From the problem, we have two equations:

1) P = 3Q (Peter is three times as old as Paul)

2) P + 5 = 2(Q + 5) (In five years, Peter's age will be twice that of Paul's age)

Now, we can solve these equations step by step:

Step 1: Substitute equation 1) into equation 2):

3Q + 5 = 2(Q + 5)

Step 2: Simplify the equation:

3Q + 5 = 2Q + 10

Step 3: Subtract 2Q from both sides:

Q = 5

Step 4: Substitute Q = 5 into equation 1):

P = 3 * 5 = 15

So, Peter is 15 years old and Paul is 5 years old.

Knowee AI · Accepted Answer