Question : Ravi is 12 years younger than Surya. Ravi's age is 40% of the sum of his and Surya's ages. What will be Surya's age 9 years from now?
Option 1: 36
Option 2: 24
Option 3: 33
Option 4: 45
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Correct Answer: 45
Solution :
Given: Ravi is 12 years younger than Surya. Ravi's age is 40% of the sum of his and Surya's ages.
Let Ravi's age be $x$ years.
Then, Surya's age $= (x+12)$ years
According to the question,
$x = [x+(x+12)]×\frac{40}{100}$
⇒ $5x= 4x+24$
⇒ $x = 24$
Surya's age after 9 years $=x+12+9 = x+21 = 24+21 = 45$ years.
Hence, the correct answer is 45.
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