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Question
```Peter and Paul are two friends. The sum of their ages is 35
years. Peter is twice as old as Paul was when Peter was as
old as Paul is now. What is the present age of Peter?

```
Question Submitted By :: Ankita
I also faced this Question!!     Rank Answer Posted By

Re: Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
# 1
The answer is 21 years old (age of Peter).

Equation:

let x = present age of Peter
y = present age of Paul

When Peter has the same age as Paul (y yrs. old), age of
Paul is y/2 yrs. old. Since the differences of there ages
are equal for the 2 events, we have the equation...

x - y = y - y/2
y = (2/3)x

Substituting the equation of y to the equation x + y = 35,
will give us....

x + (2/3)x = 35

therefore, x = 21 (age of Peter)

 Is This Answer Correct ? 17 Yes 19 No
Paul

Re: Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
# 2
when ws peter as as paul is nw?? (x-y) years ago!!

so those years ago paul's age= y-(x-y) yrs

now qstn says peter is twice the age as paul ws then.

so x/2 = y-(x-y)

or x/2=2y-x

or x= 4y - 2x

or 3x = 4y

or y = 3/4x

rplacing d value of y in d equation x+y=35 we get answer as

-----
x=20
-----
y =15.
------

thus (x-y)=5 yrs ago y was 10 and x is twice that=20.
but x+y=35

 Is This Answer Correct ? 26 Yes 6 No
Sumit Jha

Re: Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
# 3
7yreas 6 months
 Is This Answer Correct ? 2 Yes 16 No
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