Question

The units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more than the original number. Find the number.

Please help!!

Answer 1

let the unit digit be x
let the tens digit by y
x = 2y+1

so the original number is 10y + x
and the number reversed would by 10x + y

so 10x+y - (10y+x) = 36
9x - 9y = 36
x - y = 4
(2y+1) - y = 4
y = 3 , then x = 7

the original number was 37