# If a number is decreased by 9 and the difference is multiplied by three, the result is the same as twice the number decreased by ten. How do you find the number?

$a = 17$
$\left(a - 9\right) \times 3 = 2 a - 10$
$3 a - 27 = 2 a - 10$
$3 a - 2 a = 27 - 10$
$a = 17$