Problem on Age
Question
Q1.
The age of a man is 4 times that of his son . Five years ago , the man was 9 times as old as his son was at that time
What is the present age of the man .?
Solution.
32 years
Solution
Q2.
The sum of the ages of a son and mother is 56 years . After 4 years , the age of the mother will be 3 times that of the son .
What is the age of the son ?
Let the age of the son be x years .
Then,the age of the mother is (56-x)yrs
After 4 years 3(x+4) = 56-x+4
4x = 56+4-12 = 48
x = 12 yrs
Thus, son's age = 12 years .
Solution
Q3.
The age of a man is 4 times that of his son. 5 yrs ago the man was nine times as old as his son was at that time . what is present age of son?
(a) 8 (b) 10 (c) 12 (d) 14
Solution.
y = 4x ------------------ 1
y = father's age
x = son's age
(y - 5) = 9(x - 5)
4x - 5 = 9x - 45
x = 8
Solution
Q4.
The ratio of the father's age to the son's is 3:1 . The product of their ages 27, find the age of son ?
(a) 6 (b) 3 (c) 2 (d) 1
Solution.
Let the ratio of proportionality be y,then
3y . y = 27
3y2 = 27
y2 = 9
y = 3
Solution
Q5.
The sum of present age of A, B and C is 90 year . Six years ago their ratio of age was 1:2:3 , find the present age of C .
(a) 18 (b) 36 (c) 40 (d) 42
Solution.
(d) 42
Six years ago their ages was x , 2x , 3x
So, x + 6 + 2x + 6 + 3x + 6 = 90
6x + 18 = 90
6x = 72
x = 12
Solution
Q6.
The ratio of the ages of the father and the son at present is 6:1 . After 5 years the ratio will become 7:2, find the sum of ages(father & son)
(a) 50 (b) 35 (c) 40 (d) 45
Solution.
(b) 35
6x + 5/x + 5
=
7/2
12x + 10 = 7x + 35
5x = 25
x = 5
Solution
Q7.
One years ,ago the ratio between a's and b's age was 4:3 , one year hence the ratio of their age will 5:4 . What is the present age of A and
B .
(a) 9,7 (b) 9,8 (c) 9,6 (d) 8,9
Solution.
(a) 9,7
Let present age of A and B is x and y respectively .
(x - 1)/(y - 1) = 4/3 -----------1
(x + 1)/(y + 1) = 5/4 -------------2
Solution
Q8.
The age of the father 3 years ago was 7 times the age of his son. At present the father's age is five times that of his son. find the age
of son ?
(a) 9 (b) 6 (c) 10 (d) 18
Solution.
let present age of son and father is x 5x respectively .
7(x - 3) = 5x - 3
7x - 21 = 5x - 3
2x = 18
x = 9
Solution
Q9.
The age of a man is 4 times that of his son. 5 yrs ago the man was nine times as old as his son was at that time . what is present age of son?
(a) 8 (b) 10 (c) 12 (d) 14
Solution.
y = 4x ------------------ 1
y = father's age
x = son's age
(y - 5) = 9(x - 5)
4x - 5 = 9x - 45
x = 8
Solution
Q10.
The sum of the ages of a son and father is 56. After 4 yrs the age of the father will be three times that of the son. what is the age of the son?
(a) 10 yrs (b) 12 yrs (c) 18 yrs (d) 20 yrs
Solution.
F + S = 56 ------------- 1
(F + 4) = 3(S + 4)
F + 4 = 35 + 12
F - 35 = 8 ---------- 2
S = 12 yrs
Solution
