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
Suppose the age of Shyam = P years
According to question ,
Age of Ram = 2 × age of Shyam = 2P years
Age of Sohan = 4 × age of Shyam = 4P years
? Shyam > Mohan
So, Sohan (4P) > Ram (2P) > Shyam (P) > Mohan
? Sohan is the oldest.
Here , Father = F , Mother = M and Daughter = D
According to question
Age of F = Age of M + 5,
Age of M = 3 × Age of D and Age of D = 10 years
? Age of M = 3 × 10 = 30 years
Therefore, father's present age = 30 + 5 = 35 years
Required answer = father's present age - 10 years = 35 ? 10 = 25 years
Suppose the present ages of Ashu and her mother be P and Q years respectively.
According to question,
5 years ago , 3 × ( ages of Ashu - 5 ) = ages of Ashu's mother - 5
? 3 ( P - 5 ) = Q - 5
? 3P - 15 = Q - 5
? 3P - Q = 10 ... (i)
Again, After 5 years , 2 × ( ages of Ashu + 5 ) = ages of Ashu's mother + 5
? 2(P + 5) = Q + 5
? 2P + 10 = Q + 5
? 2P ? Q = - 5.... (ii)
From equations (i) and (ii) , we get
P = 15 years
Therefore, Ashu is 15 year old at present.
Suppose the age of daughter is P years.
Age of brother = age of daughter + 5 years = P + 5 years
Age of mother = 2 × age of daughter = 2P years
According to question ,
? Age of mother - 20 years = Age of brother
? 2P ? 20 = P + 5
? 2P ? P = 5 + 20
? P = 25 years
Age of mother = 2P = 2 × 25 = 50 years
Age of father = Age of mother + 10 years = 50 + 10 = 60 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 .
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
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