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Ashok’s mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today?
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- 10 years
- 15 years
- 20 years
- 25 years
Correct Option: B
Suppose the present age of Ashok is P years and that of his mother is Q years.
5 years ago ,
3 × ( age of Ashok - 5 ) = ( age of Ashok 's mother - 5 )
3 ( P – 5 ) = ( Q – 5 )
⇒ 3P – 15 = Q – 5
⇒ 3P – Q = 10 ....(i)
5 years after,
2 × ( age of Ashok + 5 ) = ( age of Ashok '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
Hence , the present age of Ashok is 15 years .
