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Ashu’s mother was three times as old as Ashu 5 years ago. After 5 years she will be twice as old as Ashu. How old is Ashu today?
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- 35 years
- 10 years
- 20 years
- 15 years
Correct Option: D
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.
