Question 921978
let x,y be the two numbers.
 sum of these numbers is 25
hence x+y= 25.....................eq (1)
let be x be the smaller number and y be the larger number.
twice the smaller number is 8 more than larger 
  twice the smaller number is 2x
 larger number is y.
so 2x is 8 more than y
 2x = y+8 ...........................eq(2)
  subtract 8 on both sides
  2x-8 = y+8-8
 2x-8 =y
 substitute y = 2x-8 in eq 1
            x+ (2x-8) = 25
             x+2x-8 =25
              3x-8 =25
            add 8 on both sides
       3x-8+8=25+8 
           3x = 33 
 divide with 3 on both sides
        3x/3  =33/3
          x  =11
  hence y = 2(11)-8  = 22-8 = 14 
 y =14
x =11
smaller number  = 11
larger number  =14.
cheers