The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two-digits of that number?
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two-digits of that number?
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ক
3
-
খ
4
-
গ
6
-
ঘ
9
-
ঙ
None of these
ধরি, প্রশ্নমতে, 1ª digit x and 2nd digit 10y
Number = (x + 10y)
Interchanging the digit, new number =( 10x + y )
প্রশ্নমতে, (x + 10y) - (10x + y) = 36
y - x = 4
Let the two-digit number be 10x+y, where x is the digit in the tens place and y is the digit in the units place.
When the digits are interchanged, the number becomes 10y+x.
According to the given information, the difference between the two-digit number and the number obtained by interchanging the positions of its digits is 36. Mathematically, this can be represented as:
(10x+y)−(10y+x)=36
Simplifying the equation:
10x+y−10y−x=36 9x−9y=36 x−y=4
So, the difference between the two digits of the number is 4.
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