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The present ages of Tim and Lee are in the ratio of 5:6 respectively. Seven years hence, the ratio of their ages will be 6:7 respectively. What is Tim's present age?
a.40 years
b.32 years
c.35 years
d.34 years

Read Solution (Total 3)

c.35years

Let x be the Tim's age.
And y be the Lee's age.
Then, x/y = 5/6 ===> y = 6x/5
And, x+7/y+7 = 6/7
==> 7x+49 = 6y+42
==> 7x = 67-7
By substituting 7x=(36x/5)-7
==>35x-36x=-35
Therefore, x=35(Tim's age)
12 years agoHelpfull: Yes(6) No(3)

present age of tim is 5x
present age of lee is 6x
7 yrs hence
tim age is 5x+7
lee age is 6x+7

7 yrs hence the raio of ther ages is
(5x+7)/(6x+7) = 6/7
x=7
so tims present age is 5*7=35
12 years agoHelpfull: Yes(3) No(0)
present age of tim is 5x
present age of leee is 6x
7 yrs hence there ages are 5x-7/6x-7------ 1
but its is given that
7 yrs hence there ages are 6/7------------ 2
from eq 1 and eq 2
(5x-7)/(6x-7) = 6/7
x=7 , tim presentt age=5*7=35
12 years agoHelpfull: Yes(1) No(0)

GENPACT Other Question

Four years ago, the ratio of ages of Purple and Blue was 2:3, respectively. If the sum of their present ages is 28. Compute the ratio of their ages four years hence.
a.1:5
b.2:5
c.3:5
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