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Age Problem
The ratio of the present ages of Ram and Rahim is 3 : 2. The ratio of the present ages of Rahim and Aman is 5 : 2. What is the ratio of the present ages of Ram and Aman?
(a) 4 : 15
(b) 15 : 4
(c) 9 : 5
(d) Cannot be determined
(e) None of these
Read Solution (Total 12)
-
- ram/rahim=3/2 -----(1)
rahim/aman=5/2---------(2)
(1)x(2)= ram/aman=3/2x5/2=15/4 - 8 years agoHelpfull: Yes(11) No(0)
- ram/rahim=3/2;
rahim/aman=5/2;
rahim=5aman/2;
ram/(5aman/2)=3/2;
ram=(3/2)*5aman/2;
ram/aman = (3/2)*5/2;
ram/aman = 15/4;
option b - 8 years agoHelpfull: Yes(10) No(2)
- ram=3*5.
rahim=2*2.
aman=5*2.
therefore ratio =15:4. - 8 years agoHelpfull: Yes(5) No(1)
- ram:rahim=3:2
rahim:amin=5:2
ram:rahim:amin=5(3:2):2(5:2)=15:10:4
ram:amin=15:4
- 8 years agoHelpfull: Yes(4) No(0)
- ram: rahim=3:2
rahim:aman = 5:2
making ratios equal
for that
ram: rahim:aman
1)3:2: (?)
2)(?) : 5:2
now as rahim's age ratio increased from 2 to 5
so to get ram's age ratio respect to that is 7.5
so ram:aman = 7.5:2 = 15:4 - 8 years agoHelpfull: Yes(3) No(0)
- Option B.
Ram : Rahim=3:2
Let Ram's present age be 3x and Rahim's present age be 2x.
Now, Rahim : Aman = 5:2
Here let Rahim's present age be 5y and that of Aman be 2y.
comparing Rahim's present age in the statements given above.
2x=5y
==> x/y=5/2
Now, ratio of present ages of Ram and Aman are
Ram: Aman= (3*5):(2*2)= 15:4 - 8 years agoHelpfull: Yes(2) No(0)
- Ram:rahim::rahim:aman
3 : 2 :: 5 : 2
(3:2)*5=15:10
(5:2)*2=10:4
Now ram=15 & aman=4 - 7 years agoHelpfull: Yes(1) No(1)
- ram/rahim=3/2
rahim/aman=5/2
to get ram/aman directly multiply them
3/2 * 5/2 = 15/4 - 7 years agoHelpfull: Yes(1) No(0)
- ram/rahim=3/2
rahim/aman=5/2
to get ram/aman directly multiply them
3/2 * 5/2 = 15/4 - 7 years agoHelpfull: Yes(1) No(0)
- answer is b) 15 : 4
solution is:-
given-
ram : rahim=3:2
therefore, rahim= 2/3 ram----------1
rahim : aman=5:2
therefore, rahim=5/2 aman----------2
from 1 and 2 equations,
2/3 ram=5/2 aman
hence, ram/aman = (5/2) * (3/2)=15/4 or 15:4 - 7 years agoHelpfull: Yes(1) No(0)
- Ram/rather=3/2. Rahim/Alan=5/2. So second condition implies that rahim=5/2 times of aman..so substitute the value of rahim in condition1 ..so that becomes ram/aman=15/4
- 7 years agoHelpfull: Yes(1) No(0)
- Answer (b) 15 : 4
- 7 years agoHelpfull: Yes(0) No(0)
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