IBM
Company
Numerical Ability
Age Problem
Pat and Chris have the same birthday. Pat is twice as old as Chris was
when Pat was as old as Chris is now. If Pat is 24 now, how old is
Chris now?
Read Solution (Total 5)
-
- p = pat's current age
c = chris's current age
difference d in their ages is p - c
d years ago, Pat was as old as Chris is now.
d years ago, Chris was c-d years old.
"Pat is twice as old as Chris was when Pat was as old as Chris is now."
p = 2(c-d)
= 2(c-(p-c))
= 2(2c-p)
= 4c - 2p
4c = 3p
c = 3p/4
= 18
Pat is 24; Chris is 18. - 12 years agoHelpfull: Yes(12) No(3)
- suppose chiris is 2x years old
some year ago
age of pat- 2x
then age of chrish x
so now age of pat 2x+x=24
x=8
age of chrish now 2x=16
now current age of chris is 16......
- 10 years agoHelpfull: Yes(2) No(0)
- simple chris pat
current age x 24
past z x
24=2z or z=12 or 24-x = x-12 or2x =36 or x =18 ( chris age now)
Read more at: http://www.caclubindia.com/forum/apptitude-skills--8791.asp - 8 years agoHelpfull: Yes(1) No(1)
- pat chris
24 (present age) 'x' (present age)
' '
' z years ago 'z years ago
' '
'x' (pat was as old as chris is now) 2(x-z) (pat is twice as old as chris)
x(past)+z(years) = 24(present)....................x+z = 24
from given condition..................................x = 2(x-z)
x = 2(x-(24-x))
3x = 48
x = 16 ans - 7 years agoHelpfull: Yes(0) No(0)
- "Now, if Pat is 24, then Chris was 12 (half Pat's current age) at some
point in the past. That point was when Pat was as old as Chris is now.
Restating it, some number of years ago - let's call it x - Chris was
12 and Pat was Chris's current age."
24-x=12+x
12=2x
6=x
24-6=18 Chris's age
12+6=18 - 7 years agoHelpfull: Yes(0) No(0)
IBM Other Question