SOLUTION: John is twice as old as Peter. In 8 years, John’s age will be 2 more than the sum of their present ages. How old is John now? a.) 6 b.) 12 c.) 18 d.) 4 e.) 16

Algebra.Com
Question 884982: John is twice as old as Peter. In 8 years, John’s age will be 2 more than the sum of their present ages.
How old is John now?
a.) 6
b.) 12
c.) 18
d.) 4
e.) 16
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
John is twice as old as Peter. In 8 years, John’s age will be 2 more than the sum of their present ages.
How old is John now?
John is twice as old as Peter. 
So J = 2P

In 8 years, John’s age will be J+8 

and J+8 will then be 2 more than the sum of their present ages, J+P 

So

J+8 = J+P + 2
  6 = P

J = 2P = 2(6) = 12

So John is 12.


Checking:

John, who is 12, is twice as old as Peter, who is 6.  That checks. 
In 8 years, John’s age (12+8=20) will be 2 more than the 
sum of their present ages (12+6=18). Since 20 is 2 more than 18,
the answer is correct. 

Edwin
RELATED QUESTIONS

John is twice as old as Peter. The sum of their ages is 36 years. In 5 years time, how... (answered by TimothyLamb)
John is now twice as old as Peter. The sum of their ages is 36 years. In 5 years time,... (answered by Alan3354)
Bob is as old as John will be when Bob is twice as old as John was when Bob's age was... (answered by josmiceli)
Can you please help me solve this problems: 1.) Erwin is 5 times older than john and... (answered by mangopeeler07)
13. John is ¼ as old as his father. In 8 years time , the sum of their ages will be... (answered by ewatrrr)
Reex John’s father is five times older than Reex John and Reex John is twice as old as... (answered by josgarithmetic,greenestamps)
In four years, John's age will be the same as Peter's age now. In two years, Peter's age... (answered by ikleyn,josgarithmetic)
John is as old as Cindy will be when John is twice as old as Cindy was when John was half (answered by Edwin McCravy)
John's father is 5 times older than John and John is twice as old as his sister Alice. In (answered by ankor@dixie-net.com)