You have taken two exams in math . your total score for both exams is 186 . on one of the exams , you scored 2 less than 3 times more than you scored on the other exam . what’s was your score on each of the exams ? a ) 93 and 93 b) 52 and 134 c) 49 and 137 d) 47 and 139

the answer is here: : )

:

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.