Question

.The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference between the two digits of the number?
​

Answer 1

Solution :-

• the two digits number should be written as

→ 10x + y

• x is in 10s place and y is in ones place

• reversing the digits it becomes 10y + x

• difference between the two is 27

→ (10x + y) - (10y + x) = 27

→ 10x + y - 10y - x = 27

→ 9x - 9y = 27

→ 9(x - y) = 27

→ x - y = 27/9 = 3

→ x - y = 3 $\sf$

Hence :-

• Difference between two digit is = 3