Question

The sum of the digits of a two-digit number is 12. If the new number formed by reversing
the digits is greater than the original number by 54, find the original number. Check your
solution.​

Answer 1

Answer:

so the number is 39

Step-by-step explanation:

let the number be xy

sum of the digits is 12 x+y = 12

yx = xy +54

10y + x = 10x + y +54

9y = 9x +54

y = x+6 (divided 9 on both sides)

12 - x = x + 6

2x = 6

x = 3

y = 9

so the number is 39

on reversing 93 = 39+54