text: # The product of three integers is 90. The second number is twice the first number. The third number two more than the first number. What are the three numbers?
  
  Oct 25, 2017
  
  $22 , 44 , 24$
  
  #### Explanation:
  
  We assume the first number to be x.
  First number = $x$
  
  "twice the first number"
  Second number = $2 \cdot \text{first number}$
  Second number = $2 \cdot x$
  
  "two more than the first number"
  Second number = $\text{first number} + 2$
  Third number = $x + 2$
  
  The product of three integers is 90.
  $\text{first number" + "second number" + "third number} = 90$
  $\left(x\right) + \left(2 x\right) + \left(x + 2\right) = 90$
  
  Now we solve for x
  $4 x + 2 = 90$
  $4 x = 88$
  $x = 22$
  
  Now that we know what x is, we can plug it in to find each individual number when $x = 22$
  First = $x = 22$
  Second = $2 x = 2 \cdot 22 = 44$
  Third = $x + 2 = = 22 + 2 = 24$