Question

divide 184 into two parts such that one-third of one part may exceed one-seventh of other part by eight

Answer 1

let first part is x then second part is 184 -x
 given that x\3-(184-x)\7 = 8
 or                 7x -(552- 3x) =8×21
   or               10 x = 168+552
  or                10x = 720
  or                        x=72 
 first part =72 
    second part = 184-72 =112.ans