there are Two numbers. The sum of the larger number and three times the smaller number is 14. The large number is two more than the smaller number. What is the larger number?

small number is 3

large number is 5

Step-by-step explanation:

Set up a system of equations and use substitution

x is smaller number

y is larger number

y + 3x = 14

x + 2 = y

x + 2 + 3x = 14

x = 3

Plug this into second equation

3 + 2 = y = 5