Question

2. The sum of the digits of a two-digit number is 11. If 63 is subtracted
from the number, the digits get interchanged. What is the number?
(1) 38
(2) 83 (3) 92 (4) 29​

Answer 1

Step-by-step explanation:

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