A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now. Five years ago the age of son was :

Let us assume the age of youngest child be P years.
Then according to question,
The age of 5 children born after every 3 years will be P , P + 3,
P + 6, P + 9, P + 12.
Now as we know from the given question
The sum of the ages of 5 children born at the interval of 3 years each is 50 years
P + (P + 3) + (P + 6) + (P + 9) + (P + 12) = 50
? 5P + 30 = 50
? 5P = 20
? P = 4 years

Let us assume Q age is Q years , R age is R years and T age is T years.
According to question,
Q is as much younger than R as he is older than T
Age of Q - T = R - Q
? Q = (R + T)/2
If sum of the ages of R and T is 50 years.
Hence, age of Q = 50/2 = 25 years
Here, absolute value of age of R is not known.
So the difference between R and Q's age cannot be determined. Hence, data is inadequate.

Let the present age of Ram be x years; then
8 years ago Ram age = x - 8
According to question,
His present age is 6/5 times his age at the time of marriage.
x =( x - 8) 6/5
? 5x = 6x - 48
? x = 48
Age of Ram at the time of his marriage = 48 - 8 = 40
According to question,
Ram's sister was 10 years younger to him at the time of his marriage
Hence, Ram's sister age at the time of his marriage = 40 - 10 = 30 years.
So Present age of Ram's Sister = 30 + 8 = 38

Let us assume the A age is P , B age is Q and C age is R years.
Sum of the age of A and B age is P + Q years and B and C ages is Q + R Years.
According to question,
The sum of ages of A and B is 12 years more than the sum of ages of B and C
Here, (P + Q) = (Q + R) + 12
? (P + Q) - (Q + R) = 12
? P - R = 12
? P = R + 12
Hance, C is 12 years younger than A.

Let us assume 16 years ago, the age of Sudha and her grandfather were x and 8x years respectively; then
Present age of Sudha = x + 16
Present age of her grandfather = 8x + 16
After 8 years age of sudha from now = x + 16 + 8
After 8 years age of grandfather from now = 8x + 16 + 8
now according to question,
He would be 3 times of her age 8 years from now.
3(x + 16 + 8) = 8x + 16 + 8
? 3x + 72 = 8x + 24
? 5x = 48
? x = 48/5
Eight years ago , sudha age = x + 16 - 8 = x + 8
Eight years ago , grandfather age = 8x + 16 - 8 = 8x + 8
Hence, required ratio = (x + 8) / (8x + 8 )
Put the vale of x , we will get
? required ratio = (48/5 + 8) / ( 8 x 45/5 + 8)
? required ratio = ((48 + 40)/5) / ( (8 x 45 + 40)/5)
? required ratio = (88/5) / ( 400/5)
? required ratio = 88 / 400
? required ratio = 11 : 50

Let us assume the present ages of son be P then mother's age will be 5P years.
After 4 years, Son' age = P + 4
After 4 years, Mother' age = 5P + 4
According to question,
5P + 4 + P + 4 = 44
? 6P = 36
? P = 6 years

Let us assume the present age of the person be P years.
3 years hence the age of person = P + 3
3 years ago the age of person = P - 3
According to question,
Take my age three years hence, multiply it by 3 and then subtract 3 times my age three years ago,
= 3(P + 3) - 3(P - 3)
= 3P + 9 - 3P + 9
= 18 years
Hence, age of the person = 18 years

Le t us assume the present Nisha's age be P years.
Then Nisha's younger brother Age will be P - 4.
Then father present age = 38 + P
Mother present Age = 36 + P - 4 = 32 + P
According to question,
Difference in age of parents = Father age - Mother age
Difference in age of parents = 38 + P - (32 + P)
Difference in age of parents = 38 + P - 32 - P = 6 years.

Given that :- The age of Ram = 8 years.
The age of Geeta = Age of Ram - 2 years
The age of Geeta = age of Ram - 2 years = 8 ? 2 = 6 years.
According to question ,
? Age of Kamal = 5 x Age of Geeta
The age of Kamal = 6 × 5 = 30 years.