Question

Sum of two digits number is 12.If the digits of the number is reversed, the new number becomes 54 more than the original number.Find the number.

Answer 1

let the digit at unit be y and tens be x.
origanal number _ 10x+ y
interchange number_ 10y+x.
from 1st condition -
x+y=12.....1
from 2nd condition
10y+x- 54 =10x+y
$10y - y + x - 10x = 54 \\ 9y - 9x = 54 \\ y - x = 6 \\ - x + y = 6....2$
by adding 1 and 2 , we get
$2y = 18 \\ y = 9$
put y=9 in 1
$x + y = 12 \\ x + 9 = 12 \\ x = 12 - 9 \\ x = 3$
Origanal number is 39
interchange number is 93.
hope this helps you :-))))
don't forget to do it brainleist.