arithmetic problems on ages questions and answers paper 43 - skillgunNote: Paper virtual numbers may be different from actual paper numbers . In the page numbers section website displaying virtual numbers .
Five years ago Arun was 1/3rd age of Badri. If their ages are in the ratio 4:7. What will be total of their present ages?
Let the present ages of Arun and Badri be 4x and 5x respectively.
Five years ago Arun was 1/3rd age of Badri.
Arun+Badri's present age=4*2+7*2=22
A person's age will be 110% of present age after 10 years. What is his present age?
Let the present age be x
A father said to his son "I was twice old as you are present at the time of your birth".If father's present age is 33. What is son's present age?
Let son's present age be x. 33-x=2x
Rajan is 8 years younger than Rohan. If their present ages are in the ratio 5:7, what is Rohan's age?
Let the ages of Rajan and Rohan be 5x and 7x respectively.
Lalit was thrice the age of his son 6 years ago. After 6 years, he will be twice the age of his son. What is the present age of Lalit?
Let the age of son before 6 years be x. Age of Lalit before 6 years=3x
Present age of Lalit=3x+6
The total age of X and Y is 16 years more than total age of Y and Z. Z is how much younger than X?
Sanjay's age after 10 years will be 4 times his age 10 years back. What is the present age of Sanjay?
Let the present age of Sanjay be x, x+10=4(x-10),3x=30,x=10
The total ages of A,B and C is 84. Five years ago their ages were in the ratio 5:6:7. What is the present age of C?
Let the ages of A,B, C before 5 years be 5x,6x and 7x respectively, (5x+10)+(6x+10)+7x+10=84,18x=54,x=3,C's age=7*3=21
Two men suchith and jagan differ in age by 30 years. If 6 years ago the older one is 3 times as old as younger one then present ages of the two men are?
Let their ages be x and y,
The age of Alex in 2000 was 1/50th of his birth year, What is his age in 2016?
The age of Alex in 2000 be x, (2012-x)/49=x,2012-x=49x,2000=50x, x=40,In 2016 his age will be 40+16=56
The ratio between the present ages of M and N is 6 : 7. If N is 4 years old than M. What will be the ratio of the ages of M and N after 4 years?
Let M's age and N's age be 6x years and 7x years respectively
Then, 7x - 6x = 4 or x = 4
Required ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8
In a class, there are 30 students. The average age of all students is 19 years. The average increases by 1 when the teacher’s age also included. What is the age of the teacher?
Avg x Number = Total 19 years x 30 nos = 570 years ... (1)
20 years x 31 nos = 620 years ... (2)
Teacher’s age = (2) - (1) = 620 – 570 = 50 Years.
At present, the ratio between the ages of Akhin and Diwakar is 4 : 3. After 6 years, Akhin’s age will be 26 years. What is the age of Diwakar at present?
Let the present ages of Akhin and Diwakar be 4x years and 3x years respectively. Then, 4x + 6 = 26
4x = 20
x = 5
Diwakar's age = 3x = 15 years.
A father is thrice as old as his younger son. 25 years ago, the age of the father was 13 times the age of the son. The present age of the father (in years) is
Let younger son's age = x. Then father's age = 3x
13 (x - 25) = (3x - 25)
10x = 300
x = 30
Father's present age = 90 years.
Ten years ago, Vimal was thrice as old as Jeeva was but 10 years hence, he will be only twice as old. Find Vimal’s present age.
Let Vimal’s present age be x years and Jeeva’s present age be y years.
Then, according to the first condition,
x - 10 = 3(y - 10) or, x - 3y = -20 ..(1)
Now. Vimal's age after 10 years = (x + 10) years
Jeeva's age after 10 years = (y + 10)
(x+10) = 2 (y+10) or, x - 2y = 10 ..(2)
Solving (1) and (2), we get x = 70 and y = 30
Vimal's age = 70 years and Jeeva's age = 30 years.
If Jitin was 1/3rd as old as Nitin 5 years back and Jitin is 17 years old now, How old is Nitin now?
Jitin’s age today is 17 years, Hence, 5 years back, he must be 12 years old. Thus, Nitin must be 36 years (3 x 12) old 5 years back Nitin must be 41 years (36 + 5) old today.
The ages of Anjan, Bhanu and Charan together total 185 years. Bhanu is twice as old as Anjan and Charan is 17 years older than Anjan. Then, the respective ages of Anjan, Bhanu and Charan are
40, 86 and 59 years
42, 84 and 59 years
40, 80 and 65 years
Let Anjan's age be x years
Bhanu's age be 2x years
Charan's age = (x + 17) years
According to the question,
x + 2x + (x + 17) = 185
4x = 185 - 17 = 168 x = 42
Anjan's age = 42 Years
Bhanu's age = 84 Years
Charan's age = 42 + 17 = 59 years.
Present ages of Santosh and Arjun are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively, What is Arjun’s present age in years?
Can't be determined
Let the present ages of Santosh and Arjun be 5x years and 4x years respectively
Then, (5x + 3)/(4x + 3) = 11/9
9 (5x + 3) = 11 (4x + 3)
x = 6
Arjun's present age = 4x = 24 years.
A man is 4 times as old as his daughter today. Twenty years later, he would be just twice as old. At the time of birth of his daughter, how much old must the man be?
Let the ages of daughter and man today by 'x' and '4x' years respectively.
4x + 20 = 2 (x + 20) ---> As per information
x = 10 years ==> 4x = 40 years.
At the time of birth of his daughter, man must be 40 - 10 = 30 old
The total of the ages of Jayaram, Praveen and Sarath is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Sarath?
Let the ages of Jayaram, Praveen and Sarath 10 years ago be 2x, 3x and 4x years respectively
Then, (2x + 10) + (3x + 10) + (4x + 10) = 93
9x = 63
x = 7
Sarath's present age = (4x + 10) = 38 years.
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