Latest TCS Aptitude Question SOLUTION: There are 2 friends peter and paul. peter age was twice as old as paul when peter was as old as paul is now. sum of the present ages of peter and paul is 35. what is the present ag

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There are 2 friends peter and paul. peter age was twice as old as paul when peter was as old as paul is now. sum of the present ages of peter and paul is 35. what is the present age of peter?

Asked In TCS pre (11 years ago)

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Bharadwaj Gandepalli  (11 years ago)

let
a-------> present age of PETER
b-------> present age of PAUL
he compared their ages x years before as
a-x=2(b-x)
(past age peter) = (present age of PAUL)
(a-x)=b
given sum of their present ages is 35
a+b=21
solving above three eq'ns we get a=21
so answer is 21

Is this solution Helpfull? Yes (16) | No (7)  

KD  (11 years ago)

Let y years ago Peter's age was x.
So, y years ago Paul's age was x/2.
So, according to the question Peter's old =Paul's Present age=x
Now, Paul's present age=Paul's old age(y years ago)+y(Since we assumed it y years)
i.e. x=x/2+y
so, y=x/2
Now,Present age of Peter is x+y =>x+x/2
and Present age of Paul is x.
so sum of their age is x+x+x/2 =3(x)/2=35(given)
so x=14 i.e Paul is 14 years old
and Peter's present is 3(x)/2=21 is the answer.

Is this solution Helpfull? Yes (11) | No   

Suchitra  (11 years ago)

let the peter age be 'e'
and let paul age be 'a'
given a+e=35 which means e=35-a eqn 1
peter was as old as paul is now= a-(e-a)=2a-e
and peter age was twice as old as paul e=2(2a-e)=4a-2e
so now e=4a-2e
3e=4a
3(35-a)=4a
on solving we get a=15,e=20.
peter age=20

Is this solution Helpfull? Yes (9) | No (3)  

Arindam Dhara  (11 years ago)

peter=2*paul

now,
(peter+paul)+(2*paul)=35.
paul=7.

so now peter's age= peter+paul= 2*paul + paul= 21. (ans)

Is this solution Helpfull? Yes (5) | No   

TOSHI KUMARI  (11 years ago)

let present age of peter=x
present age of paul=y
according to q'n peter age is greater than paul age
and age difference=x-y. and(x-y) year before peter was as old as paul.
now,
x-(x-y)=2{y-(x-y)}.
=>2x-3y=0------(1) x+y=35----(2)
by solving we got y=14 and x=21(peter present age).

Is this solution Helpfull? Yes (3) | No   

parvez sajjad  (11 years ago)

ans=21years

Is this solution Helpfull? Yes (1) | No   

Asha Ruth Jeya Ranjini S  (11 years ago)

Peter's age is 20
Let age pf peter=e; paul=a
when peter was as old as paul is now means, (e-a) years ago.
example if ur age is say 20, ur niece age is 10, when u tell when i was in ur age it means (ur age- her age) yrs back.
(e-a) yrs ago perter age= e-(e-a)=a which is paul's age now
age of paul (e-a) yrs ago= a-(e-a)=2a-e
given: (e-a) yrs ago peter is twice old as paul
e=2(2a-e)
a+e=35
solving the equation we get e=20

Is this solution Helpfull? Yes (1) | No (1)  

Guru Pranav  (11 years ago)

I think peter's age is 14 years.

Is this solution Helpfull? Yes (1) | No   

juhe rawat  (11 years ago)

peter present age is:18

Is this solution Helpfull? Yes | No (2)  

Amit Kumar  (11 years ago)

x,y are ages
y=2(y-t), t=y/2
x-y/2=y
x+y=35
x=21, y=14

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MANJUNATHA SK  (11 years ago)

ans is 20............................

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prateek sharma  (10 years ago)

pauls age be x and peters be y
y+x=35
y=35-x ... this is given
according to 2nd line x i.e y=x-(y-x)
pauls age was 2x-y
now peters age is y=2(2x-y)
3y=4x
3(35-x)=4x
105-3x=4x
x=15
hence y=20
peter age is 20 years

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