Suppose the present age of son = P years
The present age of father = 2P years
According to question ,
20 years ago , (2P ? 20) = 12 (P ? 20)
? 2P ? 20 = 12P ? 240
? 12P ? 2P = 240 ? 20
? 10P = 220
? P = 22 years
Age of father = 2P = 2 x 22 = 44 years
Suppose, the present age of Vishal be P years.
According to question,
present age of Vishal + 1 year = 2 ( present age of Vishal - 12 years )
P + 1 = 2(P ? 12)
? 2P ? P = 25
? P = 25 years
Therefore , the present age of Vishal is 25 years .
Given that :- Present age of son = 20 years
According to question ,
father's present age = 2 × Present age of son
His father's present age = 2 x 20 = 40 years
10 years ago , The age of son = 20 ? 10 =10 years
Father's age = 40 ? 10 = 30 years = 10 × 3
Hence , required answer will be 10 years ago .
Let us assume at present Ram's age is 26 years
Last year his age = 26 ? 1 = 25 = (5)2
Next year his age = 26 + 1 = 27 = (3)3
After 27, the next cube number is 64 = (4)3
? Required answer = 64 ? 26 = 38 years
Suppose my age = P years
My father's age = my age + 21 years = P + 21 years
Again After 12 years ,
2 ( my age + 12 ) = My father's age + 12
? 2 (P + 12) = (P + 21) + 12
? 2P + 24 = P + 33
? P = 33 ? 24 = 9 years
Hence , I am 9 years old now .
Suppose the age of Naresh's brother = P years
According to question ,
? Age of Naresh = 2 × age of Naresh's brother ? 4
Therefore , Age of Naresh = 2P ? 4
Suppose the present age of son = P years
Present age of mother = Q years
According to question,
4 (P ? 2) = Q ? 2
? 4P ? 8 = Q ? 2
? 4P ? Q = 6 ...(i)
2 (P + 6) + 10 = Q + 6
? 2P + 12 + 10 = Q + 6
? 2P ? Q = ?16 ...(ii)
From equations (i) and (ii)
P = 11
? Q = 4 × 11 ? 6 = 38
Required the present ratio of their ages = 38 : 11
Suppose the present age of daughter = P years
and, the present age of mother = Q years
According to questions,
5 years ago , 3 × ( the present age of daughter - 5 ) = ( the present age of mother - 5 )
3 (P ? 5) = (Q ? 5)
? 3P ? 15 = Q ? 5
? 3P ? Q = 10 .......(i)
After five years , 2 × ( the present age of daughter + 5 ) = ( the present age of mother + 5 )
2 (P + 5) = Q + 5
? 2P + 10 = Q + 5
? 2P ? Q = ?5 .......(ii)
From equations (i) and (ii) , we get
3P ? 2P = 10 ? (?5)
? P = 15 years
Hence, the present age of daughter is 15 years .
The present age of Amit = 17 years
5 years before , age of Rakesh = The present age of Amit - 5 years = 17 ? 5 = 12 years
? Age of Anil = age of Rakesh + 3 years = 12 + 3 = 15 years
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