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Question
After 18 years, Swarnim will be 4 times as old as he is now. His present age is ______.
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Solution
After 18 years, Swarnim will be 4 times as old as he is now. His present age is 6 years.
Explanation:
Let Swarnim’s present age be x year.
After 18 year, Swarnim’s age = (x + 18) year
According to the question,
x + 18 = 4x
⇒ x – 4x = –18 ...[Transposing 4x to LHS and 18 to RHS]
⇒ –3x = –18
⇒ `(-3x)/(-3) = (-18)/3` ...[Dividing both sides by –3]
∴ x = 6
Hence, Swarnim’s present age is 6 year.
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