How old are Peter and John?
John is twice as old as Peter. In 6 years, the sum of their ages will be 54. How old is each one now?
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Let's call Peter's age "p".
ReplyDeleteGiven that John is twice as old as Peter, John's age is 2p.
In 6 years, Peter will be p + 6 and John will be 2p + 6.
According to the problem, in 6 years, the sum of their ages will be 54. So, we can write the equation:
(p + 6) (Peter's age in 6 years) + (2p + 6) (John's age in 6 years) = 54
Combining like terms:
3p + 12 = 54
Subtracting 12 from both sides:
3p = 42
Dividing both sides by 3:
p = 14
So, Peter's current age is 14 and John's current age is 2 times Peter's age, which is 28.
In summary:
Peter: 14 years old
John: 28 years old