Answer:
The three numbers are 12, 11, and 6
Step-by-step explanation:
Let
First Number be x
Second Number be y
Third Number be z
Now, we can come up with equations from the word problem.
The 2nd is 1 less than 1st means:
y = x - 1
3rd is 5 less than 2nd means:
z = y - 5
1st is TWICE as large as 3rd means:
x = 2z
We have 3 equations. Let's put 3rd into 1st, we get:
y = 2z - 1
Now put this into 2nd equation, we get:
z = 2z - 1 - 5
Solving for z:
5 + 1 = 2z - z
z = 6
We know x = 2z, so x = 2(6) = 12
x = 12
and y = x - 1, this means y = 12 - 1 = 11
y = 11
