Question : After 4 years, Ramesh's age will be 50% more than what his age was 16 years ago. What is his present age?
Option 1: 56 years
Option 2: 52 years
Option 3: 54 years
Option 4: 46 years
Correct Answer: 56 years
Solution :
Given: After 4 years, Ramesh's age will be 50% more than his 16 years.
Let Ramesh's present age be $x$ years.
His age 16 years ago = $(x-16)$ years
After 4 years, his age = $(x+4)$ years
According to the question,
$x+4=(x-16)+(x-16)\times \frac{50}{100}$
⇒ $x+4=(x-16)+ \frac{x-16}{2}$
⇒ $x+4=\frac{3x-48}{2}$
⇒ $2x+8=3x-48$
⇒ $3x-2x=8+48$
$\therefore x=56$ years
Hence, the correct answer is 56 years.
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