The average age of a cricket team is 27 years. Two players with 24 and 27 years of age are replaced by new players of 23 and 28 years of age. What is the average age of the team now?

Let us assume the present age of the subordinate is P then her subordinate age will be (P + 16).
According to Question,
Four years ago, the respective ratio of the ages of the boss and subordinate was 11 : 7.
(P +16 - 4 )/ (P - 4) = 11/7
? 7 x (P +16 - 4 ) = 11 x (P - 4)
? 7 x (P +12 ) = 11 x (P - 4)
? 7P + 84 = 11P - 44
? 4P = 128
? P = 32 years

Let us assume the present age of Ram R, Shyam S and Mohan M.
5 years ago, Ram age = R - 5
5 years ago, Shyam age = S - 5
5 years ago, Mohan age = M - 5
According to question,
5 years ago, the average age of Ram and Shyam was 20 years,
(5 years ago, Ram age + 5 years ago, Shyam age) /2 = 20
(R - 5 + S - 5 )/2 = 20
R + S = 40 + 10 = 50 ................(1)
Now Again according to question,
Now , the average age of Ram, Shyam and Mohan is 30 years
(R + S + M)/3 = 30
R + S + M = 90
Pu the value of R + S from equation (1)
50 + M = 90
M = 90 - 50 = 40
The present age of Mohan = 40 years
10 years hence, the age of Mohan = 40 + 10 = 50 years

Let the present ages of Shami, Nammi and pammi are 3x, 4x and 5x years respectively;
then, According to question,
3x + 4x + 5x = 48
? 12x = 48
? x= 4
Hence, their present ages are 12, 16 and 20 years respectively.
So, required ratio = (12 + 8) : (16 + 8) : (20 + 8) = 20 : 24 : 28 = 5 : 6 : 7

Let us assume that present age of son is P years then his father's present age will be 3P.
According to question,
Five years ago, father's age was four times the age of the son.
Then
4 (P - 5) = 3P - 5
? 4P - 20 = 3P - 5
? P = 15 years
The present age of Son is 15 Years.

Let us assume the present ages of P and Q be (x + 4) and x years;
then, According to question,
( x + 4 + 5 )/ (x + 5) = 9/8
? 8x + 72 = 9x + 45
? x = 27
Hence, present age of P = 27 + 4 = 31 years

Given :- Average age of A and C = 35 years
? A + C = 70 years ......... ( ? )
Average age of B, and D = 40 years.
? B + D = 80 years ......... ( ? )
and Average age of B, C and D = 40 years.
? B + C + D = 120 years ......... ( ? )
With the help of equations ( ? ) , ( ? ) and ( ? ) , we get
? age of C = 40 years and age of A = 30 years
According to question ,
? age of A + age of D = age of B + age of C
? A + D = B + C
? 30 + D = B + 40 ? D ? B = 10
? age of B = 35 years and age of D = 45 years

According to question ,
Mother's age - Sum of her two daughters' age = 6.
The average age of two daughters = 22
Total age of two daughters = 22 × 2 = 44 years
? The age of their mother = Total age of two daughters + 6 years
The age of their mother = 44 + 6 = 50 years

According to question ,
Age of his wife = 35 years
Age of his son = 7 years and Age of man = 32 years
At the birth of son, The age of mother = Age of his wife - Age of his son = 35 ? 7 = 28 years
Difference in age = Age of man - age of mother = 32 ? 28 = 4 years