The difference between a 2-digit number and the number obtained by int

1.	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 tens place digit be y and the units place be x. ∴ Our number is (10y + x) Our given first condition is that the difference between a 2-digit number and the number obtained by interchanging its digits is 63. ∴ By given condition, (10y + x) - (10x + y) = 63 ∴ 10y - y + x - 10 x = 63 9y – 9x = 63 9(y - x) = 63 y - x = 7 Hence, the difference between the digits of the number is 7.

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 tens place digit be y and the units place be x.

∴ Our number is (10y + x)

Our given first condition is that the difference between a 2-digit number and the number obtained by interchanging its digits is 63.

∴ By given condition,

(10y + x) - (10x + y) = 63

∴ 10y - y + x - 10 x = 63

9y – 9x = 63

9(y - x) = 63

y - x = 7

Hence, the difference between the digits of the number is 7.