Respuesta :

The answer is 28 and 40, they are 12 numbers apart and both add up to 68

Answer:

40, 28

Step-by-step explanation:

Let the numbers be x and y. The sum of two numbers is 68 and the difference is 12.

[Assuming x > y]

  • x + y = 68
  • x - y = 12

Now add these equations,

[tex]\Rightarrow[/tex] x + y + x - y = 68 + 12

[tex]\Rightarrow[/tex] 2x = 80

[tex]\Rightarrow[/tex] x = 40

Then, y = 68 - 40 = 28

Hence,

The required numbers are:

  • Greater = 40
  • Smaller = 28

Some tips:

  • Always incline towards using variables to get the results first, instead of hit n trial.
  • Here y was eliminated when we added the equations. So always try to deduce the equations into a single variable.
  • Cross check by placing the variable in the equation after u get the results.