Question

The difference of two numbers is 19. The larger number is three more than twice the smaller. Find the numbers.

Answer 1

Let x=the larger number
y=the smaller number 
If the difference of two numbers is 19,then
$x - y = 19$
If the larger number is 3 more than twice the smaller, 
$x = 2y + 3$
subsituting
$x = 2y + 3 \: to \: x - y = 19$
$2y + 3 - y = 19 \\ 2y - y + 3 = 19 \\ y + 3 = 19 \\ y + 3 - 3 = 19 - 3 \\ y + 0 = 16$
$y = 16$
but ×=2y+3 so,
$x = 2 (16) + 3 \\ x = 32 + 3 \\ x = 35$
Therefore, the two numbers are 16 and 35.