Answers

  • Brainly User
2016-02-06T18:02:37+08:00
X + y = 43
      y = 43-x

Representation:
     larger number: x
     smaller number: 43-x

Equation:
     2x = 3(43-x) + 16
     2x = 129 - 3x + 16
     2x + 3x = 129 + 16
     5x = 145
     5x/5 = 145/5
     x = 29

Plug-in 29 to x:
Larger number: x = 29
Smaller number: 43-29 = 14

ANSWER:  The numbers are 29 and 14.

Check:
     29 + 14 = 43

Twice the larger number exceeds the thrice the smaller number by 16.
     2(29) = 3(14) + 16
     58 =  42 + 16
     58 =  58   (True) 
1 4 1