lucilllll lucilllll
  • 01-10-2020
  • Mathematics
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the sum of two numbers is 42. the larger number is 12 more than 4 times the smaller number.

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devishri1977
devishri1977 devishri1977
  • 01-10-2020

Answer:

Smaller number = 6

Larger number =  36

Step-by-step explanation:

Let the smaller number  be x

Larger number = 4x + 12

Sum of two numbers = 42

x + 4x + 12  = 42               {Add like terms}

    5x  + 12 = 42                {Subtract 12 from both sides}

             5x = 42 - 12

             5x = 30                   {Dive both sides by 5}

         5x/5 = 30/5

x = 6

Smaller number = 6

Larger number = 4*6 + 12 = 24 + 12 = 36

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