Question 131374
SOLUTION -
  Let the larger number be x
      and smaller number be y
 therefore according to the first condition that is,"the difference between two numbers is 18" we have
         
               x - y = 18        
               x = 18 + y      .............. (i)

   now according to the second condition we have five times the greater is equal to 2 times the smaller, we have

           5x = 2y
           5x = 2y

    substituting the value of x from equation (i)we have
       5(18 + y) = 2y
       90 + 5y = 2y
           5y - 2y = -90
              3y = - 90
               y = -90/3
              y = - 30  

now substituting the value of y in equation (i) we have
         x = 18 + (-30)
         x = 18 - 30
         x = -12
  
 therefore
       larger number is x = -12
   and smaller number is y = -30