Question

sum of the digits of a two digit number is 6.when we interchange the digits ,it is found that the resulting new number is greater than the original number by 2.what is the two digit number?​

Answer 1

=let the two no. be x and y

their sum is 6 therefore, the no. is

= x+y=6

let the x be in 10's place and y in one's place

=10x+y

the new no. after enterchanging

=10y+x

According to question the new no. is 2 greater than the original no.then,

10x+y-2=10y+x

10x-x-2=10y-y

9x-2=9y

9x-9y=2

9(x-y)=2

x-y=2/9

ATQ

 x+y=6

+x-y=2/9

2x=2/9+6

2x=2/9+54/9

x=56/9*2

x=48/9