TylerNel27
TylerNel27 TylerNel27
  • 20-09-2020
  • Mathematics
contestada

The sum of two numbers is 12. The difference of the same numbers is -4. Find the numbers.

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 20-09-2020

Answer:

The numbers are 4 and 8.

Step-by-step explanation:

First, you have to form equations for the given informations :

[tex]x + y = 12 - - - (1)[/tex]

[tex]x - y = - 4 - - - (2)[/tex]

Next, you have to solve the simultaneous equations :

[tex](1) - (2)[/tex]

[tex]2y = 16[/tex]

[tex]y = 16 \div 2[/tex]

[tex]y = 8[/tex]

[tex]substitute \: y = 8 \: into \: (1)[/tex]

[tex]x + 8 = 12[/tex]

[tex]x = 12 - 8[/tex]

[tex]x = 4[/tex]

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