Problems on Age आयु संबंधी शार्ट ट्रिक्स
In this article we are going to show some most important types and short tricks of Age problems in Hindi as well as English. The article contain types, tricks, frequently asked important questions and a problem sheet; which helps to improve your knowledge. Please practice with all tricks and questions which gives you more confidence for all competitive exam.
Type and Age Short
trick 1:


If the ratio
of age of A and B is X:Y and sum of their age is T, then:


1

Age of A ={X / (X+Y)}x T
years

2

Age of B ={Y / (X+Y)}x T
years

3

Difference between age of A
and B = {(XY) / (X+Y)}x T years , [If X > Y]

Example: The ratio of age of Ajay and Vijay is 3:4. If sum of there age is 84 years, then find the age of Ajay.
Important question of Age based problems asked in previous exam


Q1

Rajeev’s age after 16 years
will be 5 times his age 5 years back, What is the present age of
Rajeev?
राजीव की उम्र 5 गुना हो
जाएगी 16 वर्ष बाद उसकी 5 साल पूर्व
की उम्र के; उसकी वर्तमान उम्र क्या होगी।

ANS:

Let Rajeev’s present age be x
years. Then,
Rajeev’s age after 15 years = (x + 15) years.
Rajeev’s age 5 years back = (x — 5) years.
x + 15 = 5 (x — 5)
x + 15 — 5x — 25
4x = 40 _ x 10.
Hence,
Rajeev’s present age 10 years.

Q2

The ages of two persons
differ by 16 years. If 6 years ago, the eider one be
3 times as old as the younger one, find their present ages.
यदि दो आदमियो की उम्र का अंतर 16 साल हे ; यदि 6 साल पेहले
बड़े आदमी की उम्र 3 गुना हो
छोटे की उम्र के तो दोनों की वर्तमान उम्र क्या होगी

ANS:

Let. the age of the younger
person be x years.
Then. age of the elder person = (x + 16) years.
3 (x — 6) = (x + 16 — 6)
3x — 18 x + 10
2x = 28
x = 14.
Hence
their present ages are 14 years and 30 years.

Q3

Rohit was 4 times as old as
his son 8 years ago. After 8 years; Rohit will be
twice as old as his son. What are their present ages?
8 साल पहले रोहित की उम्र 4 गुना थी
उसके पुत्र से  8 साल पश्चात रोहित की उम्र 2 गुना होगी
उसके पुत्र से  उसकी वर्तमान उम्र क्या हओगी।

ANS:

Let son’s age 8 years ago be
x years. Then, Rohit’s age 8 years ago = 4x years.
Son’s age after 8 years = (x + 8) + 8 = (x + 16) years.
Rohit’s age after 8 years. = (4x + 8) + 8 = (4x + 16) years.
2 (x + 16) = 4x + 16
2x = 16
x =8
Hence, son’s present age
= (x + 8) = 16 years,
Rohit’s
present age
= (4x + 8) = 40 years.

Q4

One year ago, the ratio of
Gaurav and Sachin age was 6: 7 respectively
Four years hence, this ratio would become 7: 8. How old is Sachin
?
1 साल पहले गौरव और सचिन की उम्र का अनुपात 6:7 हे। 4 वर्ष पश्चात
उनका अनुपात 7:8 हो जाएगा  सचिन कितना
बड़ा हे

ANS:

Let Gaurav’s and Sachin’s
ages one year ago be 6x and 7x years respectively Then.
Gaurav’s age 4 years hence =(6x + 1)+ 4 => (6x + 5) years
Sechin’i, age 4 years hence = (7x + 1)+ 4 => (7x + 5) years.
=>(6x+5)/(7x+5) = 7/8
= 8(6x+5) = 7(7x+5) = 48x+40=49x+35 =
x =5
Hence, Sachin’s present age =
(7x + 1) = 36 years.

Q5

Abhay’s age after six years
will be threeseventh of his father’s age. Ten years
ago, the ratio of their ages was 1 : 5. What is Abbay, father’s
age at present?
6 साल बाद अभय की उम्र उसके पिता की उम्र के 3/7 रेह जाएगी। 10 साल बाद् उनकी
उम्र का अनुपात 1:5 हे  अभय के पिता
की वर्तमान उम्र क्या होगी।

Ans

Let the ages of Abbay and his
father 10 years ago be x and 5x years respectively. Then,
Abhay’s age after 6 years = (x + 10) + 6 = (x + 16) years.
Father’s age after 6 years = (5x + 10) + 6 = (5x + 16) years.
(x+16) = 3/7 (5x+l6)
= 7(x+16)=3(5x+16)
=7x+112=l5x+48
= 8x=64
x =8
Hence Abhay Father present age = 5x+10 = 50 Years

Type and Age Short
trick 2:


If the ratio
of age of A and B is X:Y and difference between their age is T (there
X>Y), then:


1

Age of A = {X / (XY)}x T years

2

Age of B = {Y / (XY)}x T years

3

Sum of age of A and B = {(X+Y) / (XY)}x T years

Example: The ratio of present age of Ram and Shyam is 3:2. After 4 years Ram is elder then Shyam by 6 years, find the present age of Shyam.
If you want to learn
more aptitude problems short tricks Please follow Links >>> अन्य शार्ट ट्रिक्स के लिए क्लिक करे
Type and Age Short
trick 3:


The ratio of present
age of
A and B = X:Y then:


1

If before n years ratio of their
age is A:B, then
(Xn) / (Yn) = A/B

2

If after n years ratio of their
age is P:Q, then
(X+m) / (Y+m) = P/Q

Example: Before 10 years age of A is half of B. If ratio of there present age is 3:4, then what will be the sum of there age presently ?
Type and Age Short
trick 4:


n years before, ratio
of age of A and B is X:Y then :


1

If ratio of their age is
presently A:B, then
(X+n) / (Y+n) = A/B

2

If after m years, ratio of their
age is P:Q, then
(X+n+m) / (Y+n+m) = P/Q

Example: Before 10 years age of A is half of B. If ratio of there present age is 3:4, then what will be the sum of there age after 10 years ?
If you want to learn
more aptitude problems short tricks Please follow Links >>> अन्य शार्ट ट्रिक्स के लिए क्लिक करे
Type and Age Short
trick 5:


If
before n years, ratio of age of A,B and C is X:Y:Z, then ratio of their present age


1

=
(X+n) : (Y+n) : (Z+n)

Example: Sum of present age of A , B and C is 90 years. Before 6 years the ratio of there age is 1:2:3. find the present age of C.
Type and Age Short
trick 6:


If after m years ratio of age of A and B is
X:Y, then ratio of their present age


1

= (Xm)
: (Ym)

Example: Sum of present age of Rajesh and Shankar is 60 years. after 6 years ratio of Rajesh and Shankar is 7:5. find the age of Shankar.
Type and Age Short
trick 7:


If A
is such smaller then B such that C is bigger, then


1

A:B:C =
2:3:1
or
A = 1/2 (B+C)

Example: Jayash is younger then Anil such that he is elder then Prashant. If sum of age of Anil and Prashant is 48 years, then find age of Jayash.
Type and Age Short trick 8:
Type and Age Short trick 8:
Example: The age of Jagmohan is triple then the age of sum of there both sons. After 5 years his age is double of there sons. Find present age of Jagmohan.
Type and Age Short trick 9:
Type and Age Short trick 9:
Example: After 10 years, age of A is double of age of B before 10 years. If in present age of A is greater the B by 9 years, then find present age of B.
Type and Age Short trick 10:
Type and Age Short trick 10:
Example: Age of father is 4 years greater then four time of age of his son. If after 5 years father's age is 5 years greater then trice of age of his son, then find present age of father.
your first question is wrong according to me. you took x+15 in place of x+16.
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