Question

The sum of digits of a 2digits no.is 13the number obtained by interchange the digits of given number exceed the number 27find the number

Answer 1

Let the digits of the number be a and b

therefore,a+b=13

the number is 10a+b

when interchanged

we get,10b+a

therefore,(10b+a)-(10a+b)=27

10b+a-10a-b=27

we know a+b=13

then,a=13-b

substituting value of a,

10b+13-b-10(13-b)-b=27

10b-b-130+10b-b=27-13

18b=130+14

b=144/18

b=8

substituting the value of b,

a+b=13

a=13-8=5

therfore,the number is

10a+b=10*5+8

50+8=58

therefore the number is 58