Nikhil says quot If you reverse the digits in my age the number that you will obtain will be Salil 3...........

Logical Reasoning(Master ) Arithmetical Reasoning

Nikhil says, "If you reverse the digits in my age, the number that you will obtain will be Salil's age. Salil is older than me and the difference of ages of me & Salil will be one-eleventh of the sum of our ages." The age of Nikhil is

23 years

34 years

45 years

None of these

49 years

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Explanation:

Let 'p' and 'q' be the ten's and unit's digits respectively of the number which denotes the age of Nikhil's age.
Then, Nikhil's age = (10p + q) years; Salil's age = (10q + p) years.
Therefore (10q + p)- (10p + q) = (1/11) (10q + p + 10p + q)
(9q-9p) = (1/11)(11q + 11p) = (p+ q)
10p = 8q
p = (4/5)q
So, q should be a multiple of 5 and also should be a single digit, which is 5.
So the values obtained will be, p = 4, q = 5.
Hence, Nikhil's age = 10p+ q = 45 years.