arithmetic problems on ages questions and answers paper 289 - skillgunNote: Paper virtual numbers may be different from actual paper numbers . In the page numbers section website displaying virtual numbers .
The total age of Arjun and Bhavesh is 12 year more than the total age of Bhavesh and Charmi. Charmi is how many years younger than Arjun?
Charmi is elder than Arjun
(Arjun+ Bhavesh) - (Bhavesh + Charmi) = 12
Arjun - Charmi = 12
The ratio of Anirudh’s and Bhaskar’s ages is 4:5. If the difference between the present age of Bhaskar and the age of Anirudh 5 years hence is 3, then what is the total of present ages of Anirudh and Bhaskar?
Let A =Anirudh, B = Bhaskar.
Given: A/B = 4/5 or, B = 5/4 A
and, B-(A+5) = 3 or, B=A+8
5/4 A = A+8
or, A(5/4 - 1) = 8
A = 32 years
and, B = 5/4 x 32 = 40 years
A + B = 32 + 40 = 72 years.
A couple having 5 children. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
A father said to his son Rohit, "I was as old as you are at the present at the time of your birth". If the father's age is fourty two years now, Rohit's age five years back was:
Let the Rohit's present age be x years. Then, (42 - x) = x
2x = 42.
x = 21
Rohit's age 5 years back (21 - 5) = 16 years.
Akhil is two years older than Bujji who is twice as old as Cane. If the total of the ages of Akhil, Bujji and Cane be 27, then how old is Bujji?
Let Cane's age be x years. Then, Bujji's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, Bujji's age = 2x = 10 years.
Present ages of Santosh and Anirudh are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anirudh's present age in years?
Can't be determined
Let the present ages of Santosh and Anirudh be 5x years and 4x years respectively.
Then, (5x + 3)/(4x + 3) = 11/9
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6.
Anirudh's present age = 4x = 24 years.
A man is 36 years older than his son. In four years, his age will be thrice the age of his son. The present age of his son is:
Let the son's present age be x years. Then, man's present age = (x + 36) years.
(x + 36) + 4 = 3(x + 4)
x + 40 = 3x + 12
x = 14
Six years ago, the ratio of the ages of Kamal and Suprajith was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Suprajith's age at present?
Let the ages of Kamal and Suprajith 6 years ago be 6x and 5x years respectively.
Then, ((6x + 6) + 4)/((5x + 6) + 4 ) = 11/10
10(6x + 10) = 11(5x + 10)
5x = 10
x = 2.
Suprajith's present age = (5x + 6) = 16 years.
The sum of the present ages of a Jackson and his son is 60 years. Six years ago, Jackson's age was five times the age of the son. After 6 years, son's age will be:
Let the present ages of son and Jackson be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
6x = 84
x = 14.
Son's age after 6 years = (x+ 6) = 20 years..
At present, the ratio between the ages of Bheema and Eswar is 4 : 3. After 6 years, Bheema's age will be 26 years. What is the age of Eswar at present ?
19 and half
Let the present ages of Bheema and Eswar be 4x years and 3x years respectively. Then,
4x + 6 = 26 4x = 20
x = 5.
Eswar's age = 3x = 15 years.
Lara is younger than John by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Lara?
Let John's age be x years.
Then, Lara's age = (x - 7) years.
(x - 7)/x = 7/9
9x - 63 = 7x
2x = 63
x = 31.5
Hence, Lara's age =(x - 7) = 24.5 years.
Damodar is as much younger than Farukh as he is older than Tushara. If the sum of the ages of Farukh and Tushara is 50 years, what is definitely the difference between Farukh and Damodar's age?
Let Q = Damodar, R = Farukh, T = Tushara
1. The difference of age b/w R and Q = The difference of age b/w Q and T.
2. Sum of age of R and T is 50 i.e. (R + T) = 50.
Question: R - Q = ?.
R - Q = Q - T
(R + T) = 2Q
Now given that, (R + T) = 50
So, 50 = 2Q and therefore Q = 25.
Question is (R - Q) = ?
Here we know the value(age) of Q (25), but we don't know the age of R.
Therefore, (R-Q) cannot be determined.
Present ages of Neels and Amit are in the ratio of 5 : 3 respectively. Three years before the ratio of their ages was 12 : 7 respectively. What is Amit present age in years ?
Let the present ages of Neels and Amit be 5x years and 3x years respectively.
Then (5x - 3)/(3x - 3)=12/7
˜7(5x - 3)=12(3x - 3)
Amit present age = 3x
= 45 years.
The ratio between the present ages of Pranupa and Gayathri is 5 : 7 respectively. If the difference between Gayathri's present age and Pranupa's age after 6 years is 2, what is the total of Pranupa's and Gayathri's present ages ?
Let the present ages of Pranupa and Gayathri be 5x years and 7x years respectively.
Then 7x-(5x+6)=2 or 2x=8 or x=4.
Required sum = 5x+7x =12x =12×4 = 48 years.
Eighteen years ago, Gunasekhar was three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is
Let the present ages of Father and Son be 2x years and x years respectively.
Required sum = (2x+x) =3x =3x36 =108 years.
Hemanth was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What was the age of Hemanth?
Let the present ages of Hemanth be x years.
Then 3(x+3)-3(x-3) ‹=› x= (3x+9)-(3x-9)
Four years ago, the Ishanth's age was three times the age of his son. The total of the ages of Ishanth and the son after four years, will be 64 years. What is the Ishanth's age at present ?
Let the ages of Ishanth and son 4 years ago be 3x and x years respectively.
Then, [(3x+4)+4]+[(x+4)+4]=64 ‹=› 4x=48
Ishanth's present age 3x+4=40.
James is 28 years older than his son. In four years, James age will be twice the age of his son. The present age of the son is
Let the son's present age be x years. Then, James's present age = (x + 28)years
=> (x + 28) + 4
= 24 years.
Kalam's age after 15 years will be 5 times his age 5 years back. What is the present age of Kalam?
Let Kalam's present age be x years. Then
Kalam's age 15 years = (x+15) years.
Kalam's age 5 years back = (x-5) years.
=> x+15= 5x-25
Kajal got married 6 years ago. Today her age is 1.25 times her age at the time of marriage. Her sons age is 1/10 times her age. Her sons age is:
Let Kajal age 6 years ago = x years. Kajal's present age = (x + 6) years.
x+6= (5/4)*x or x=24.
Kajal’s present age= 30 years.
Sons present age = (1/10)*30 years = 3 years.
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