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 ->  Customizable Word Problem Solvers  -> Age -> 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       Log On

Ad: Over 600 Algebra Word Problems at edhelper.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) About Me  (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