How to solve these in a confused on it

Ok let's translate question mathematically.

Let x be first number
y be second number
z be third number

So this question says

y = 2x
z = 2+5x
y+z = 37

So we need so solve those equations.

Use first and second into third:
(2x) + (2+5x) = 37
7x + 2 = 37
7x = 35
x = 5

Now plug x value into first and second equation:
y = 2(5)
y = 10

z = 2+5(5)
z = 2+25
z = 27

So the answer is

First number is 5, second number is 10, and third number is 27