GRE
Exam
Numerical Ability
Age Problem
Harry is three times as old as Tim. In eight years, he will be twice as old as Tim. How old was Harry three years ago?
Read Solution (Total 7)
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- Harry was 21 years of age three years ago.
Present age of Harry = 24. age of Tim =8 yrs
After 8 years, age of harry = 32, age of Time will be 16 years.
If present ages of Harry and Tim are H and T respectively, then
H=3T, T = H/3
and
(H+8) = 2*(T+8) = 2T+16 = 2*H/3 +16
H/3 = 8
H=24 years.
so Harry was 21 years of age three years ago. - 13 years agoHelpfull: Yes(6) No(0)
- Harry was 21 years of age three years ago.
now 24 years. - 13 years agoHelpfull: Yes(3) No(0)
- ans- 21
let harry is x yr old & tim is y yr old
x = 3y......(1)
after 8 yr:
(x+8) = 2 (y+8).....(2)
solving this
x= 24 & y= 8
Hence before 3 yr Harry was (24-3) = 21 yr old - 13 years agoHelpfull: Yes(2) No(0)
- tim=x
harry=3x
3x+8=2(x+8)
x=8
harry=24
3 years ago age will be,21 years. - 12 years agoHelpfull: Yes(2) No(0)
- h=3t
h+8=2(t+8)
=>t=8
=>h=24
3 years ago harry age is 21 - 12 years agoHelpfull: Yes(0) No(1)
- let present age of tim is x
than present age of harry is 3*x
in eight years
(3*x+7)=2*(x+7)
present age of tim is x=7
and harry's age is 21
in eight years tim age will be 7+7=14
and harry age will be 21+7=28
so before three years harry age was 21-3=18
answer is 18 - 12 years agoHelpfull: Yes(0) No(0)
- Harry age 3 years ago is 21 .
Lets present age of Harry = H and Tim = T .
given that H = 3T ...................(1)
and in 8 years , H + 8 = 2*(T+8) ......................(2)
replacing T = H/3 in e - 9 years agoHelpfull: Yes(0) No(0)
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