SOLVE PROBLEMS BASED ON AGES-LEARN SERIES

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Introduction:

Today we are going to discuss on AGES this is quite easy when comparing other application sums and it take just few seconds to solve the question.

 And it carries 1 or 2 marks in the  Prelims as well as in Mains

There are only 3 Types of problems in ages namely:

1.Finding  Present Age

2.Finding  Previous Age(Age before some years)

3.Finding  Future Age(Age after Some years)

TYPE  1:

BASED ON FINDING PRESENT AGE:

1.The  ages of Rahul and Amit are in the Ratio of 9:6.Their sum of the ages  be 95.Find the age of Rahul?

Explanation:

Rahul age=9X   Amit Age=6X

Sum of their Ages be(9X+6X)=15X

Rahul’s age=95*(9/15)

  =57 years


2.Present Ages of Sameer and Anand are in the ratio of 5:4 respectively.Three years hence,the ratio of their ages will become 11:9 respectively.What is Anand’s  Present  age  in years?

Explanation:

Person

 Present Year

After 3 Year

Sameer 5x 5x+3=11
Anand 4x 4x+3=9

9(5X+3)=11(4X+3)

45X+27=44X+33

X=6  

Anand’s Present Age=4*6=24Years


3.A father said to his son,”I was as old as you are at the present at the time of your birth”,If the father’s age is 38 years now,the son’s age is?

Explanation:

Let the son’s present age be X,

Then,(38-X)=X

2X=38

X=19 years


TYPE 2:

BASED ON EFFICIENCY:

1)A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is?

Explanation:

Let Son’s  Age=X

Man Age =24 + X

After  two years:

24 + X+2=2(X+2)

26 + X=2x+4

X=22 years


2)A is two years older than B who is twice as old as C.If the total of the ages of A,B and C be 27,then how old is B?

Explanation:
A B C
2X+2 2X X

(2X+2) +2X + X=27

5X+2=27            5X=25             X=5

B=2X, B=2*5

B=10years.


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