11. The sum of the digits of a 2-digit number is 8. If the number obtained by interchanging the digits
is 36 more than the original number find the number.
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Step-by-step explanation:
let the no be 10x+y, then digits of no are x,y
x+y = 8 ---- A
10y+x-(10x+y)=36
=> 9(y-x)=36
y-x = 4 ----B
A+B
= 2y =12
=y=6
A-B
=2x=4
=x=2
no. is 26
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