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The sum of two numbers is eighty-three. If the larger number is divided by the smaller number, then both the quotient and the remainder are six. Find the numbers .

User Bprayudha
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1 Answer

5 votes

Answer:

  • The numbers are 72 and 11

Explanation:

Let the number be x and y.

Given

  • x + y = 83,
  • x = 6y + 6

Solve the system by substitution:

  • 6y + 6 + y = 83
  • 7y = 83 - 6
  • 7y = 77
  • y = 11

Find x:

  • x + 11 = 83
  • x = 83 - 11
  • x = 72
User Manuelkruisz
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