The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.

11 and 16

Step-by-step explanation:

A good way to solve these is to work backwards.

X = larger and Y = smaller

if X is 5 more than 2Y than subtract 5 from the total

38 - 5 = 33

divide by 3

33/3 = 11

11 = Y and double that is 22 so add the five back into X and you get 16