One number is 4 less than a second number. Twice the second number is 16 less than 5

The first number = 8

The second number = 12

Step-by-step explanation:

let the given first number = x

And the given second number = y

Now, according to the question:

x = y - 4

2 y = 5x - 16

Now substitute the value of x in (2)

2 y = 5x - 16 ⇒ 2 y = 5 (y - 4) - 16

or, 2y = 5 y - 20 - 16

or, - 3 y = - 36

⇒ y = 36/3 = 12

So, the second number y = 12

and x = 12 - 4 = 12 - 4 = 8

Hence, the first number = 8

and the second number y = 12