HOW TO SOLVE PROBLEMS ON AGES -PART 2
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HOW TO SOLVE PROBLEMS ON AGES -PART 2
Hi Bankersdaily Aspirant,
Aspirants today we are going to discuss on Problems based on Ages,As you all know IBPS RRB exams are going to held shortly and we are discussing about each topic regularly with their shortcuts.Click to learn each topic with their shortcuts
Read Shortcut Methods for all the Topics-Learn Series
Today,we are going to discuss on how to solve Problems based on Ages Part-2
INTRODUCTION:
Problems based on Ages is the easiest topic in all the banking exams,and it is asked in Prelims and Mains Exam for 1 or 2 Mark.
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)
We had discussed how to solve problems based on ages in the previous article,Click here to view how to solve problems based on Ages
Read How to Solve Problems on Ages-Part 1
Note :
If they didn’t specify the age then consider the age to be X
TYPE 1:
FINDING AGE BEFORE SOME YEARS :
In this type we are going to assume the present age is X and to find the age before Y years then Age=X-Y
1)Ganesh is 24 years younger than his Father Bholenath.3 years ago,Ganesh was 1/5 as old as his father was.What is Ganesh’s present age?
Years | Bholenath | Ganesh |
Present | X | X-24 |
3 years Ago | X-3 | X-24-3=X-27 |
Before 3 years:
X-27=1/5(X-3)
5X-135=X-3
4X=132
X=33
Ganesh’s Age =(33-24)=9 Years
2.The ratio of ages of Amir and Salman is at present 3:4, 5 Years before that ratio was 2:3.What is the present age of Amir and Salman?
Years |
Amir |
Salman |
Present Year | 3X | 4X |
5 years ago | 2 | 3 |
(3X-5)/(4X-5)=2/3 ⇒ X=5
Amir’s Present Age=15years and Salman’s Present Age=20years
TYPE 2:
FINDING AGES AFTER SOME YEARS:
Let the number of years be X and the age after Y years is X+Y years
1.A person’s Present Age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Let the present age of the mother be X years,
Then, the present age of the son is 2/5(X) years.
[2/5(X)+8]=1/2[X+8]2(2X+40)=5(X+8)
X=40
2.Ranjan’s and Anurag’s Age are in the ratio 4:5.4Years hence,their age ratio will become 5:6.What is Anurag’s present age?
YEARS | ANURAG | RANJAN |
Present year | 5 | 4 |
After 4 year | 6 | 5 |
=
X=4
Anurag’s Present Age=20 years
a)16 b)20 c)25 d)30
Alternate Method(Choosing from the option)
Ratio’s are 4:5 and after 4 years 5:6
It is clear that Anurag age is a multiple of 4 now And after 4 yrs it is a multiple of 5
SHORTCUT METHOD:
When two ratio’s and after/before some years are given
Formula
1.The age of Rahul and Amit are in the ratio of 8:7.After 10 years the ratio of their Ages will be 13:12.What is the difference in years between their ages?
New Ratio Difference=13-12=1
Added number =10 years.
Difference between old and new ratio’s Cross Multiplication
=(8/7) * (13/12)
= (96-91)=5
Present Age=(1*10)/5 = 2yrs
Difference between their age =(8*2)-(7*2)=16years-14years=2years
3 comments
Type 2, second question I think Anurag’s present age is 20. 16 is Ranjan’s present age
Hi mam,
Sry for the inconvenience,Mam u r right Anurag’s Present Age is 20 and Ranjan’s Present Age is 16 Years.
Thank you