Question

Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer. Find the two consecutive even integers

Answer 1

 let x be the first integer
 x+ 2 the second integer  ( two consecutive even ) 

smaller integer  added to three times the larger  x + 3 ( x+2)
  two less than five times the smaller  5x - 2

x + 3 ( x+2)   =  5x - 2

x+3x +6 = 5x -2 

x=8       
the first  integer = 8
the second is  x+2 =10