Ages — two-person average with known difference: The average of the present ages of Sachin and Saurabh is 36 years (sum 72). If Sachin is 8 years older than Saurabh, find Saurabh’s present age.
Verbal Reasoning
Problems on Ages
Difficulty: Easy
Choose an option
-
A30 yr
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B34 yr
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C32 yr
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D40 yr
Answer
Correct Answer: 32 yr
Explanation
Introduction / Context:Given a two-person average and their difference, we can split the total to find individual ages neatly.
Given Data / Assumptions:
- (Sachin + Saurabh)/2 = 36 ⇒ sum = 72.
- Sachin − Saurabh = 8.
Concept / Approach:Let Saurabh = x and Sachin = x + 8. Then x + (x + 8) = 72 ⇒ solve for x.
Step-by-Step Solution:
2x + 8 = 72 ⇒ 2x = 64 ⇒ x = 32.Hence Saurabh = 32; Sachin = 40.Verification / Alternative check:
Average = (32 + 40)/2 = 36 ✓ and difference = 8 ✓Why Other Options Are Wrong:
- 30 and 34 do not match both constraints simultaneously. 40 is Sachin’s age, not Saurabh’s.
Common Pitfalls:
- Assigning the 8-year difference to the wrong person.
Final Answer:32 yr