arithmetic problems on ages questions and answers paper 42 - skillgunNote: Paper virtual numbers may be different from actual paper numbers . In the page numbers section website displaying virtual numbers .
The sum of ages of Venkat and Bheema is 110 years and either ages 20 years ago were in the ratio of 4 : 3. the age of Venkat in years is :
Solution: Let the ages of Venkat and Bheema be x, y.
.'. x+y =110.
------- = ---- ==> (x-20)*3 = 4*(y-20) => (x-20)3 = 4(110-x-20) => x = 60.
A couple had three sons and they were born at an interval of 3 years. The total age of the three sons is 24 years. What is the age of the youngest son?
Solution: Let the ages if three sons be x, x+3, x+6.
x+x+3+x+6 =24 => 3x = 24 -9 => x =5. .'. Youngest son's age is 5 years.
The difference between the ages of a and b is 15 years. If A's age is 4 times the age of B. find the age of B?
Solution: given A-B = 15 and A=4B. By solving these two equations we get B=5.
25 years ago a man was four times as old as his son, whose present age is 33 years. What is the present age of the father in terms of the years :
Solution: Let the present age of the man be x then, (x-25) = (33-25)4 => x= 57.
Hence present age of the man = 57 years.
The sum of the ages of Nagesh, Prakash and Sameer is 93 years. 10 years ago the ratio of their ages was 2 : 3 : 4. what is the present age of Prakash?
Solution: Let the ages of the given three persons be x, y and z.
Then, x+y+z=93. ten years ago (x-10) : (y-10) : (z-10) = 2 : 3 : 4.
Let 10 years back ages be 2a, 3a, 4a.
then (x-10)+(y-10)+(z-10) = 93-30= 63. 2a+3a+4a =63 => a = 63/9 = 7.
Hence ten years ago age of Prakash is 3a = 3*7 =21
hence present age = 21+10 =31 years.
A man has 3 children at a difference of 4 years each and their sum of ages is 42 years. What is the age of eldest child?
Let the ages of the children be x, x+4,x+8,x+x+4+x+8=42
X is 4 years older than Y who is thrice as old as Z. If their ages add up to 67, how old is X?
Let age of Z be x, Y be 3x, X be 3x+4,x+3x+3x+4=67,7x+4=67,7x=63,x=9,Age of X=3x+4=(3*9)+4=31
Ajay's age is 4 times the age of his son Rakesh. After 4 years, he would be thrice the age of Rakesh. What is Ajay's present age?
Rakesh's present age be x, Ajay's present age=4x,After 4 years Rakesh's age=x+4,4x+4=3(x+4)=3x+12,x=8,Ajay's present age=4*8=32
Present ages of Jai and Rita are in the ratio 2:3 respectively, four years hence the ratio will be 4:5, What is the present age of Jai?
Let the present ages of Jai and Rita be 2x and 3x respectively.
Present age of Jai=2*2=4
Rani is 20 years older than her son. In three years, her age will be 2.5 years older than her son. The present age of her son is
Let the present age of Rani's son be x.
Rani's present age=x+27
After 3 years,x+27+3=2.5(x+3)
The present ages of Jack and Jill are in the ratio 5:4. After 5 years Jack's age will be 35, What is Jill's present age?
Let the present ages of Jack and Jill be 5x and 4x respectively.
Jill's present age=4*6=24
The sum of present age of a mother and her daughter is 40 years. 4 years ago, mother's age was 3 times that of her daughter. What is the age of daughter after 4 years?
Let Age 4 Years ago ,Daughter x & mother 'age be 3x
therefore, present age of Daughter x+4,mother 3x+4
Present Age of Daughter = x+4
Rahul is elder than Rohit by 9 years. If their present ages are in the ratio 5:7, what is the age of Rahul?
Let the present ages of Rohit and Rahul's be x and x+9 respectively. (x+9)/x=7/5,5x+45=7x,2x=45,x=22.5,Rahul's age=22.5+9=31.5
The present ages of A,B and C are in the ratio 3:5:7. After 6 years the sum of their ages 72. What are their present ages?
Let the present ages of A,B,C be 3x,5x,7x respectively.
After 6 years, 3x+6+5x+6+7x+6=72
Aryan's age is 3/7th age of his father. After 4 years, he will be 1/3th the age of his father. How old is the father at present?
Let the father's age be x years.
Aryan's present age=(3/7)x
Rekha's age was 34 years old when she was born and her mother was 29 when her sister 2 years younger than her was born. What is the difference between the ages of her parents?
Mothers age when Rekha's sister was born=29
Father's age when Rekha's sister was born=34+2=36
The age of mother 5 years ago was thrice the age of her daughter. Five years hence, mother's age will be twice the age of her daughter. The ratio of their present ages.
Ages of mother and daughter 5 years ago are 4x and x
Four years ago, the ratio of ages of Sarath and Sonia was 5:4. Four years hence, the ratio of their ages will be 9:8. What is Sonia's present age?
Let the ages of Sarath and Sonia be 5x and 4x 4 years ago.
Sonia's present age=4x+4=12
The average age of a class of 30 students is 20 years. The average increases by 1 when teacher's age is also included. What is the age of the teacher?
Total age without including teacher =30*20=600
Total age including teacher=31*21=651
Ram is 48 years old and Rani is 36 years old. How many years ago their ratio of their ages were 3:2?
Let the ratio be x years ago.
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