Given :- The age of person is 6 years
His father's age = 6 × 6 = 36 years
Therefore, the age of his mother = His father's age - 4 years = 36 ? 4 = 32 years
Suppose the present age of Ketan is P years.
According to question,
present age of Ketan + 1 year = 2 ( present age of Ketan - 10 years )
P + 1 = 2 (P ? 10)
? P + 1 = 2P ? 20
? 2P ? P = 20 + 1
? P = 21 years
Therefore ,present age of Ketan is 21 years .
Suppose the ages of A and B are P and Q years respectively.
According to question
Age of A = Age of B + 4 years
? P = Q + 4
After 16 years , Age of A + 16 = 3 x Age of A
? P + 16 = 3P
and Age of B + 16 = 5 x Age of B
? Q + 16 = 5Q
? P = 8 and Q = 4
2 years ago their ages
Age of A = 8 ? 2 = 6 years
Age of B = 4 ? 2 = 2 years
Age of son = 6 years
Age of father = 6 × 5 = 30 years
Let after P years father will be 4 times of son.
According to question ,
? 30 + P = 4 (6 + P)
? 4P ? P = 30 ? 24
? 3P = 6
? P = 2 years
Hence, after 2 years father will be 4 times of son.
Age of Mahesh = 60 years
Age of Ram = Age of Mahesh - 5 years = 60 ? 5 = 55 years
Age of Raju = Age of Ram - 4 years = 55 ? 4 = 51 years
Age of Babu = Age of Raju - 6 years = 51 ? 6 = 45 years
Age difference between Mahesh and Babu = 60 ? 45 = 15 years
Suppose present age of Mrs. Lata = P years
Present age of son = Q years
? Their total age = 64 years
P + Q = 64 ....... (i)
According to question,
8 years ago , present age of Mrs. Lata - 8 years = 3 × ( present age of her son - 8 years )
? P ? 8 = 3 (Q ? 8)
? P ? 8 = 3Q ? 24
? P ? 3Q = ? 16 ......(ii)
From equations (i) and (ii), we get
4Q = 80 ? Q = 20
Putting the value of Q in eq.(i)
? Age of Mrs. Lata = 64 ? 20 = 44 years
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