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Examoogle • User • info@examoogle.com • EE-2024-8821
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The sum of the present ages of Kamlesh and Prathmesh is 40 years. After 2 years, Kamlesh's age will be three times that of Prathmesh's age. Kamlesh's present age (in years) is:
21
32
31
23
31
Shortcut Trick Total sum after 2 years = 40 + (2 × 2) = 44 years. Kamlesh : Prathmesh ratio (after 2 years) = 3 : 1. Total ratio units = 3 + 1 = 4 units. 4 units = 44 ⇒ 1 unit = 11 years. Kamlesh's age after 2 years = 3 units = 33 years. Kamlesh's...
Shortcut Trick
Total sum after 2 years = 40 + (2 × 2) = 44 years.
Kamlesh : Prathmesh ratio (after 2 years) = 3 : 1.
Total ratio units = 3 + 1 = 4 units.
4 units = 44 ⇒ 1 unit = 11 years.
Kamlesh's age after 2 years = 3 units = 33 years.
Kamlesh's present age = 33 − 2 = 31 years.
∴ The correct answer is 31.
Alternate Method
Given:
Sum of present ages of Kamlesh (K) and Prathmesh (P) = 40 years.
Ratio of their ages after 2 years = 3 : 1.
Let Prathmesh's present age be P.
Kamlesh's present age K = 40 − P.
After 2 years:
⇒ (K + 2) = 3 × (P + 2)
⇒ (40 − P + 2) = 3P + 6
⇒ 42 − P = 3P + 6
⇒ 42 − 6 = 3P + P
⇒ 36 = 4P
⇒ P = 36 ÷ 4 = 9 years.
⇒ Kamlesh's present age K = 40 − 9 = 31 years.
∴ The correct answer is 31.
Additional Information
Sum of Ages Rule
If the sum of ages of 'n' persons is S, then after 't' years, the new sum will be S + (n × t).
Age Difference Constant
The numerical difference between the ages of two individuals remains the same throughout their lives, regardless of the years passed.
Ratio Balancing
When a ratio is given for a future or past date, always adjust the total sum or the individuals' ages to match that specific point in time before solving.