Let y represent the units digit. Let x represent the tens digit.

__Formulate Equations:__**1.**x = 3y (the tens digit is 3 times the unit digit)**2.**10y + x = 10x + y + 36 (if the digits are reversed, the new number will be 36 less thant the orginal number)__Simplify Equations:__Equation 1: X = 3y x - 3y = 3y - 3y (subtract 3y)**x - 3y = 0**Equation 2: 10y + x = 10x + y + 36 10y - y + x - 10x = 10x - 10x + y - y + 36 (subtract y; subtract 10x) 9y - 9x = 36 (collect terms) 9y/9 - 9x/9 = 36/9 (divide each term by 9)**y - x = 4**(simplify)__Gaussian Elmination__(x - 3y) + (y - x) = (4 + 0) (add equation 1 and 2 together) -2y = 4 (collect terms) -2y/-2 = 4/-2 (divide by -2) y = -2 (simplify) x = -2 * 3 x = -6 The number you seek will be:**(-6 * 10) + (-2) = -62**