The sum of the three numbers is 84
The second number is 2 times the first.
The third number is 16 less than the second.
What is the second number?


Sagot :

Answer:

40

Let

x be the first number

y be the second number

z be the third number

The sum of the three numbers is 84.

» x + y + z = 84

The second number is 2 times the first.

» y = 2x

The third number is 16 less than the second.

z = y - 16; 2x - 16

So,

Unplug these values to the first equation.

x + 2x + 2x - 16 = 84

5x - 16 = 84

5x = 84 + 16

5x = 100

5x/5 = 100/5

x = 20 (first number)

y = 2x; y = 2(20); y = 40 (second number)

z = y - 16; z = 40 - 16; z = 24

Checking:

» x + y + z = 84

20+ 40 + 24=84 ✔️