Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The sum of the ages of Ram and Ramesh is 48 years. Four years ago the age of Ram was three times the age of Ramesh. What will be the age of Ramesh five years from now?
14 years
21 years
19 years
18 years
19 years
Let Ramesh's age 4 years ago be x, then Ram's age was 3x. Use the sum of current ages to solve for x, then find current age of Ramesh and add 5.
Let Ramesh's age 4 years ago be x, then Ram's age was 3x. Use the sum of current ages to solve for x, then find current age of Ramesh and add 5.
Define Variables
Let Ramesh's age 4 years ago be x. Then, Ram's age 4 years ago was 3x.
Calculate Current Ages
Current age of Ramesh is x + 4. Current age of Ram is 3x + 4.
Solve for x
Sum of current ages is (x + 4) + (3x + 4) = 48. This simplifies to 4x + 8 = 48, so 4x = 40, and x = 10.
Calculate Future Age
Current age of Ramesh is 10 + 4 = 14 years. Age 5 years from now is 14 + 5 = 19 years.
A: 14 is the current age of Ramesh, not the future age; B: 21 is a result of incorrect arithmetic; D: 18 is a distractor based on miscalculating the age difference.
C is correct because calculating the variables confirms Ramesh's current age is 14, and adding 5 years results in 19.
Always ensure you distinguish between 'years ago' and 'years from now' by consistently defining the baseline (current age) in your equations.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants