Latest Pratian technologies Aptitude Question SOLUTION: The difference between a two digit number and the number obtained by interchanging the positions of its digits are 36.what is the difference between largest and smallest of these t

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The difference between a two digit number and the number obtained by interchanging the positions of its digits are 36.what is the difference between largest and smallest of these two digits?

Asked In Pratian technologies pandramish sai krishna (9 years ago)

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ADERU CHENCHU NITHISH  (9 years ago)

assume two digit number as 'xy' and it can be written as 10x+y
when interchanging its digits it becomes 'yx' and it can be written as 10y+x
given 10x+y-(10y+x)=36 =>x-y=4 so ans is "4"

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srikanth  (9 years ago)

Answer is 4
Explanation (10X+Y) - (10Y-X) = 36
X-Y = 4

Is this solution Helpfull? Yes (6) | No (1)  

P Ravali  (6 years ago)

Let the two digit number be 62.
since interchanging of positions of 62 is 26 and their difference will be 62-26=36.
so the difference between largest and smallest of these two digits be 6-2=4
Finally, the answer is 4.

Is this solution Helpfull? Yes (3) | No   

arpita panda  (8 years ago)

joy cindrealla its the logic in no system like 15=10*1+5;25=10*2+5

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sushma  (7 years ago)

Formula for 2 digit no: xy=10x+y
After inter changing positions: yx=10y+x
Given Difference is 10x+y-10y-X=36
So 9x-9y=36,so x-y =4

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Joy cindrella  (8 years ago)

@ srikanth and aderu nithish , why you guys are considering xy as 10x+y?? Is there any logic behind it? I cant get you ?? :(

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Rajasekhar  (7 years ago)

4. 10x+y-10y-x=36
9(x-y)=36

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BHARAT KUMAR  (7 years ago)

Answer : 4

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B.A.S.Narayana  (6 years ago)

A+B=36 CONSIDER according to the question and prime factorize 36;we will get 36=2*2*3*3,so Pic out common factors from those 2 and 3 and multiply 2and 3 we will get 6.so 6x+6y=36 then x+y=6
Write all possiable x and y values for the Above equation we will get
[1,5;2,4;3,3]consider only prime numbers so (1,5) and (3,3) and the difference of two numbera is (5-1=4)ans is 4 and why we ignore 2,4 because 2 is a factor of 4 .

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Kr Sahas  (6 years ago)

10x+y-(10y+x)=36
After solving ,
x-y=4
Ans 4

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neha mishra  (5 years ago)

(240/24)=(240+650)/x
x=89 sec

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lokesh  (5 years ago)

xy-yx=36
10x+y-(10y+x)=36
upon solving x-y =4

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