Question

The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?

Answer 1

Let x be the no at units place and y be the no at tens place

x+y=10 &

10y+x=10x+y-54

9y-9x=-54

x-y=6 &

x+y=10

Therefore x=8 and y=2

Number =28