SATHEE: Quantitative Aptitude Ques 2463

Quantitative Aptitude Ques 2463

Question: The sum of both digits of a two-digit number is 7. If the digits of the numbers are interchanged, the number so formed is greater than the original number by 27. Find the original number. [NICL (AO) 2015]

Options:

A) 25

B) 26

C) 27

D) 28

E) 29

Show Answer

Answer:

Correct Answer: A

Solution:

By going through option, we can eliminate the other 4.

$ \therefore $ 25 is the correct option, as sum of both digit is 7. and by interchanging the position of the digit i.e. 25 turns into 52. Difference $ =52-25=27 $ Alternate Method Let the digit at tens place be y and at one’s place by x. Then, according to; the question, $ x+y=7 $ … (i) and $ -,(10y-x)+(10x+y)=27 $

$ \Rightarrow $ $ -,9y+9x=27 $
$ -,y+x=3 $ … (ii) On solving Eqs. (i) and (ii), we get $ 2x=10 $
$ \Rightarrow $ $ x=5 $

$ \therefore $ y = 2 So, number is 25.

Quantitative Aptitude Ques 2462

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Quantitative Aptitude Ques 2463

Question: The sum of both digits of a two-digit number is 7. If the digits of the numbers are interchanged, the number so formed is greater than the original number by 27. Find the original number. [NICL (AO) 2015]

Options:

Answer:

Solution:

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