Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 15)
15.
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
5 : 2
7 : 3
9 : 2
13 : 4
Answer: Option
Explanation:

Let the ages of father and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

3x + 20 = 2x + 40

x = 20.

Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

Discussion:
77 comments Page 6 of 8.

Mani said:   1 decade ago
Thanks to all. Now I got some idea.

Narayan said:   1 decade ago
Some time it good to solve question without any quick formula.

Thanks Mickey.

Anu said:   1 decade ago
Can anybody tell me how to find the ratio?

Surya said:   1 decade ago
Given, father's age(x) = 3(y)son's age.

y = x/3.

Original equation is, 10 years ago x-10 = 3(y-10).

= 3(x/3-10).....(A).

Given, after 10 years father's age(x) = 2(y)son's age.

y = x/2.

Original equation is, after 10 years x+10 = 2(y+10).

= 2(x/2+10).........(B).

Equating (A) & (B) for present ages, 3(x/3-10) = 2(x/2+10).

x = 80.

y = 40.

These are the ages after 10 years.

Hence, for present ages remove 10 years from both 70:30 or 7:3.

Devendra said:   1 decade ago
All the trick are good but Malic trick is so, esy but one confusion here X=20 mens ago(back 10 year) &Hence(after 10yer) so.. 10+10 X=20.............

(3x+10):(x+10)=7:3........... Just put the value of X=20......

Mickey said:   1 decade ago
Present ages be
father = x
son = y

10 years ago,
father = x-10
son = y-10

a/q
(x-10)= 3(y-10)..........1

10 years hence,
father = x+10
son = y+10

a/q
(x+10)= 2(y+10).......2

We get x=70, y=30.

Mihir said:   1 decade ago
Can anybody tell the answer to this question?

In 1996, Raju age was equal to the numbers formed by the last two digits of his birth year. This was same for his grandfather also. Find the difference between their ages.

Suren said:   1 decade ago
Thanks nagu.

Manish said:   1 decade ago
VERY TRICKY!!!!!!

Ramachandran said:   1 decade ago
@Ramu:
Now Assume Father age is x and Son age is y

According to first statement : Father's age is three years more than three times the son's age
x=3y+3
So x-3y=3 --->1

According to second statement : After three years, father's age will be ten years more than twice the son's age
x+3=2(y+3)+10
x-2y=13 ---->2

substitute 1 & 2:
x=33
y=10

So father's present age is 33.

Thank you god bless you all.


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