The sum of three numbers is 66. The second number is 2 times the third. The first number is 10 less than the third. What are the

numbers?

First number:

Second number:

Third number:

Step-by-step explanation:

Let the three numbers be x, y, z

So from the problem given we can get the equations as:

x + y+z = 66

x=2y

z=1x/3

Now we will make equation 1 have only one variable using equation 2 and 3.

y=1x/2 since x=2y

Now using equations 1, 3 and 5 we will get

x+1x/2+1x/3=66

11x/6=66

x = 66*6/11

x = 36

y=x/2=36/2=18

z=x/3=36/3=12

Therefore:

x = 36

y=18

z=12