Question
The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?
✓
Answer
Let the tens and unit digits of the number be a and b respectively.
Then,
$\therefore$ Number = (10a + b)
(10a + b) - (10b + a) = 63
⇒ 10a - b - 10b - a = 63
⇒ 9a - 9b = 63
⇒ 9(a - b) = 63
⇒ a - b = 7
Therefore, the diffrerent between the digits is 7.
Then,
$\therefore$ Number = (10a + b)
(10a + b) - (10b + a) = 63
⇒ 10a - b - 10b - a = 63
⇒ 9a - 9b = 63
⇒ 9(a - b) = 63
⇒ a - b = 7
Therefore, the diffrerent between the digits is 7.
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