Question

The sum of digits of a two-digit number is 10 when the digits are reversed the number decreases by 54 final change number

Answer 1

Answer:

Step-by-step explanation:

x + y = 10 (1)

yx = xy - 54 --> 10y + x = 10x + y - 54

---> 9x - 9y = 54 ----> x - y = 6 (2)

(1) + (2) ---> 2x = 16 ---> x = 8

---> y = 2

xy = 82.