If difference between the present ages of Ram and Kush is 22 years and 4 years hence age of Ram will be double the age of Kush, then what is the average of present ages of Ram and Kush?
Correct Answer:
D. 29.
Explanation:
Let Ram's current age be R and Kush's current age be K. Based on the problem, we can establish two equations:1. The difference between their ages is 22 years: R - K = 22, which means R = K + 22.
2. In four years, Ram will be twice as old as Kush: R + 4 = 2(K + 4).By substituting the first equation into the second:
(K + 22) + 4 = 2K + 8
K + 26 = 2K + 8
K = 18
Now find Ram's age:
R = 18 + 22 = 40
To find the average of their present ages:
(40 + 18) / 2 = 58 / 2 = 29
The average of their present ages is 29 years.
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