"the sum of the digits of a two-digit number is 12. The difference of the digits is 2. find the number if the units digit is larger than the tens digit"

Respuesta :

let the number be xy then

x + y = 12

y - x = 2 ( because y > x)

adding we get 2y = 14 so y = 7

and x = 12 - 7 = 5

So the number is 57.