Question 76
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?
Solution
Let the number 'ab'
After interchanging, we get 'ba'
(10a + b) - (10b + a) = 36
9a - 9b = 36
a - b = 4
$$\therefore$$ The difference between the digits of the number is 4.
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