Question

The sum of digits of a two digit number is 12.The number obtained by interchanging the digits exceeds the original by 18.Findbthe number

Answer 1

Answer:

57

Step-by-step explanation:

Let the two digits are X and Y

the two equations are:

(10X+Y)+18=10Y+X

and

(X+Y)=12

By solving this, we can get the number.

Answer 2

Answer:

Let the  units digit be x.

tens digit=12-x

original no.=10(12-x)+x=120-9x

reversed no.=10x+12-x=9x+12

according to the condition,

120-9x+18=9x+12

120-12+18=9x+9x

18x=126

x=126/18

x=7

original no.=10(12-7)+7

=57