Question

sum of the digits of two numbers is 6. When we interchange the digits, the resulting new number is less than the original number by 18. What's this two digit numbers??

plz answer it along with explanation...or upload a pic with written answer.​

Answer 1

Step-by-step explanation:

let take tens digit =x

ones digit =y

given that x+y=6

y=6-x

then the original number=10x+y

number get on interchange the digits=10y+x

according to question,

10x+y-18=10y+x

put y =6-x which we have found earlier,

then,

10x+6-x-18=10(6-x)+x

=9x-12=60-10x+x

=9x+9x=60+12

18x=72

x=4

as y =6-x then y =6-4=2

so the original number=42

number on interchanging the digits =24

hope it helps