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Let the numbers be x and y,

now, according to question :

  • x + y = 47

  • x - y = 23

by adding both equations we get,

  • x + y + x - y = 47 + 23

  • 2x = 70

  • x = 35

now, let's plug the value of x in first equation to evaluate the value of y :

  • x + y = 47

  • 35 + y = 47

  • y = 47 - 35

  • y = 12

therefore, the required numbers are :

  • 35 and 12

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