Nakul says quot If you reverse the digits in my age the number that you will obtain will be Salim 39...........

Logical Reasoning(Master ) Arithmetical Reasoning

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

41 years

43 years

45 years

47 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 Nakul's age.
Then, Nakul's age = (10p + q) years; Salim'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, Nakul's age = 10p+ q = 45 years.

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