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Numerical Ability
Age Problem
Peter and Paul Peter 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?
Read Solution (Total 8)
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- Let peter's age=x & paul's age=y
Given: x+y=35
Wen peter was as old as paul is now, i.e.
wen peter was y i.e.(x-y) yrs ago,
then paul was y-(x-y)=2y-x yrs old.
so, acc. to condition:
x=2* Paul's age x-y yrs ago,i.e.
x=2(2y-x)
x=4y-2x
x=4(35-x)-2x
x=140-6x
7x=140
x=20
i.e. Peter's age is 20 yrs old. - 13 years agoHelpfull: Yes(26) No(0)
- ans is 20 years......
- 13 years agoHelpfull: Yes(3) No(1)
- suppose peter age == x
so paul was == 35 -x
time == x - 35 + x == 2x - 35
paul age == 35 -x -2x + 35 == 70 - 3x
now eq x 2* (70- 3x)
x === 20
- 13 years agoHelpfull: Yes(2) No(2)
- Let their present ages be Peter x and Paul y
y y-a
a years back a
Peter Paul
x y
x+y=35 ----1
x-y=a ----2
x=2(y-a) ----3
From 2&3, y=3a ----4
From 4&2, x=4a ----5
From 1, 4&5, a=5, x=20 and y=15
Now check the answer
- 12 years agoHelpfull: Yes(2) No(0)
- let age of peter=x year
" " paul =y year
given x+y=35
1st condition
x=2(y-t)
2nd condition
(x-t)=y ;
t=x-y
put t in 1st condition
then y=3x/4
now x+3x/4=35
x=20
hence present age of peter is 20 year
- 13 years agoHelpfull: Yes(1) No(0)
- 35*(3/7)=15 paul age
35*(4/7)=20 peters age - 13 years agoHelpfull: Yes(1) No(0)
- 20 is the answer
- 13 years agoHelpfull: Yes(1) No(0)
- let current age of paul peter is x,and of peter will be 35-x.
(35-x)*2=x.then find x from above equaion.we wiil get x=70/3.
- 13 years agoHelpfull: Yes(0) No(0)
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