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Examoogle · Accepted Answer

The correct answer is Option C: 8 years. The difference in ratio parts is $8 - 5 = 3$ parts. Since the difference in years is 3, each part equals $3/3 = 1$ year. Thus, Surya's age is $8 	imes 1 = 8$ years.

Step-by-Step Solution & Concepts:
Shortcut Trick: The difference in ratio parts is $8 - 5 = 3$ parts. Since the difference in years is 3, each part equals $3/3 = 1$ year. Thus, Surya's age is $8 	imes 1 = 8$ years.

Formula Used: $$S - I = 3, \quad \frac{I}{S} = \frac{5}{8}$$

Given: Ishan's age is 3 years less than Surya's age. The ratio of Ishan's age to Surya's age is 5 : 8.

Steps: Define variables: Let Ishan's age be $5x$ and Surya's age be $8x$, based on the given ratio of $5:8$.. Apply age difference condition: The problem states Ishan is 3 years younger than Surya, so the difference between their ages is 3.. Solve for x: Subtracting the values, we get $3x = 3$. Dividing both sides by 3 yields $x = 1$.. Calculate Surya's age: Substitute $x = 1$ back into the expression for Surya's age.

Answer: C is correct because calculating the ratio difference $8x - 5x = 3$ gives $x = 1$, making Surya's age $8 	imes 1 = 8$ years.

Exam Tip: This type of ratio-based difference problem is common in 'Age' chapters of Quantitative Aptitude, where identifying the difference in 'parts' quickly avoids complex system of equations.

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