Ram got married 8 years ago. His present age is 6/5 times his age at the time of marriage. Ram's sister was 10 years younger to him at the time of his marriage. What is the present age of Ram's sister?

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 age of B be P years then age of A will be P + 2 and age of C will be P/2 years.
Then according to question,
P + 2 + P + P/2 = 27
? P + P + P/2 = 27 - 2
? ( 2P + 2P + P)/2 = 25
? 5P = 25 x 2
&there; P = 50/5 = 10 years
Age of B will be 10 years.

Let the present ages of the man and his wife are 4x and 3x years respectively; then
After 4 years ages of man and his wife will be 4x + 4 and 3x + 4 years.
According to question,
After 4 years, this ratio of their ages will be 9 : 7,
(4x + 4)/ (3x + 4) = 9/7
? (4x + 4)7 = 9(3x + 4)
? 28x + 28 = 27x + 36
? x = 8
Hence, their present ages are 4 x 8 = 32 years and 3 x 8 = 24 years
If t years ago they were married, then
(32 - t) /(24 - t) = 5/3
? (32 - t)3 = 5(24 - t)
? 96 -3t = 120 - 5t
? 2t = 24
? t = 12 years

Let the present ages of A and B are 5x and 3x years respectively. Then
A's age 4 years ago = 5x - 4
B's age 4 years hence = 3x + 4
According to question,
The ratio between A's age 4 years ago and B's age 4 years hence is 1 : 1
(5x - 4)/(3x + 4) = 1 : 1 = 1
? 5x - 4 = 3x + 4
? 2x = 8
? x = 4
present ages of A and B are 20 and 12 years.
The ratio between A's age 4 years hence and B's age 4 year ago is:
Hence, required ratio = (20 + 4) : (12 - 4) = 24 : 8 = 3: 1

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 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 the present age of child is P years.
Then according to question,
I was as old as you are at present at the time of your birth.
Father's age were at the time of son's birth = P years
Again According to question
Present age of father = 38
Father's age were at the time of son's birth + Present age of Son = 38
P + P = 38
2P = 38
? P = 19 years
Hence, 5 years ago the age of son was 19 - 5 = 14 years

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