Present age of Rudra is four times the present age of his sister. After 10 years, twice of Rudra’s age will be four times his sister’s age. Find their present ages
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Let Ravi’s present age be x years.
After fifteen years, Ravi’s age = 4x years.
Fifteen years from now, Ravi’s age = (x+15) years.
According to question, 4x = x + 15
\Rightarrow\ 4x-x=15⇒ 4x−x=15
[Transposing x to L.H.S]
3x = 15
\Rightarrow\ \frac{3x}{3}=\frac{15}{3}⇒
3
3x
=
3
15
[Dividing both sides by 3]
x = 5 years.
Hence, Ravi’s present age be 5 years.
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