Question

The sum of the digits of a two digit number is 11 if 63 is subtracted from the number thedigits get interchange what is the number

Answer 1

let two number X and Y
X+Y=11
A.T.Q
if the digits get interchanged=10y+X
so,10Y+X=11-63
10Y+X=-52
.......................................
first equation is=X+Y=11
second equation is=10Y+X
=10(X+Y=11)
subtraction
10X+10Y=110
(-)10Y+(-)X=(-)-52
10X-X=52+110
9X=162
X=162/9
X=18
........................................
X+Y=11
=18+Y=11
Y=11-18
Y= -7
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Answer 2

x= 18 and y =-7  these are the answers.