SATHEE: Quantitative Aptitude Ques 995

Quantitative Aptitude Ques 995

Question: If the positions of the digits of a two-digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in us ratio of 1: 2, then what is the original number?

Options:

A) 36

B) 48

C) 63

D) 56

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Let the digits at one place be x and ten’s place be y. Then, according to the question, $ \frac{x}{y}=\frac{1}{2} $
$ \Rightarrow $ $ 2x-y $ (i) and $ 10x+y=(10y+x)=-27 $

$ \Rightarrow $ $ 9x-9y=-27 $

$ \Rightarrow $ $ 9y-9x=27 $

$ \Rightarrow $ $ y-x=3 $ On solving Eqs. (i) and (ii), we get $ 2x-x=3 $ $ x=3 $ and $ y=6 $

$ \therefore $ Number is 63.

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Quantitative Aptitude Ques 995

Question: If the positions of the digits of a two-digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in us ratio of 1: 2, then what is the original number?

Options:

Answer:

Solution:

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