Question

The sum of the digits of a two-digit number is 12.The number obtained by interchanging its digits exceeds the given number by 1ø . Find the number​

Answer 1

Step-by-step explanation:

Let the unit no be x

Tens no be 12 - x

10 ( 12 - x ) + ( x * 1 )

120 - 10x + x

120 - 9x [ equation 1 ]

After interchanging

Unit no be 12 - x

Tens no be x

( x * 10 ) + ( 12 - x ) * 1

10x + 12 - x

9x + 12 [ equation 2 ]

ATQ

( 120 - 9x ) + 10 = 9x + 12

130 - 9x = 9x + 12

130 - 12 = 9x + 9x

118 = 18x

118/18 = x

59 / 9 = x