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Paritosh Singhal
(@paritosh-17)
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The ratio of the present ages of Oliver and Gulliver is same as the ratios of ages of Aram
and Oliver 9 years ago. 9 years from now, Gulliver will be as old as Aram was 9 years ago.
The present ages (in years) of exactly two of them are perfect squares, which is not true
for their ages 9 years hence. Which of the following can be the sum of the present ages
of Aram and Oliver?

A)59    B)49    C)69    D)79

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Topic starter Posted : 13/09/2021 1:27 am
Rahul Singh
(@rahul)
Admin

Let the ages of Gulliver, Aram and Oliver be G, A and O respectively 

G+9=A-9 =>A=G+18
O/G=(A-9)/(O-9)

O/G=(G+9)/(O-9)

O^2-9O=G^2+9G 

O^2-G^2=9(O+G)

O-G=9 orO=9+G

If G=1 then, A=19 and O=10 hence, conditions are not satisfied.
If G=4, then A=22 and O=13 hence, conditions are not satisfied.
If G=9, then A=27 and O=18 hence, conditions are not satisfied.
If O=16, then G=7 and A=25 hence, conditions are not satisfied.
If O=25, then G=16 and A=34 for these values the conditions are satisfied.

Thus, the sum is 59.

 

I hope this helps!

 

 

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Posted : 14/10/2021 6:33 pm
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