# The sum of the digits of a two-digit number is 11. The tens digit is one less than three times the ones digit. What is the original number?

Mar 10, 2017

Number = 83

#### Explanation:

Let the number in unit place be $x$ & the number in tens place be $y$.

According to the first condition,

$x + y = 11$

According to the second condition,

$x = 3 y - 1$

Solving two simultaneous equation for two variable:

$3 y - 1 + y = 11$

$4 y - 1 = 11$

$4 y = 12$

$y = 3$

$x = 8$

The original number is $83$