Paulroshomesid
Answered

16. The sum of the digits of a two-digit number is 11. The units digit is two more than twice the tens digit. Find the number.

Sagot :

Jeremiaid
Let x be the units digit and y for the tens digit.
x + y = 11

x = 2y + 2

Transpose

x - 2y = 2

Subtract from the original equation

x + y = 11
x - 2y = 2

    3y = 9   divided by
        3
  y = 3

Substitute to any of the two equations. Say the first equation.

x + y = 11
x + 3 = 11
x + 3 -3 = 11 - 3
x = 8
y = 3

The number is 38.