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11-11-2022
Mathematics

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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 .

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mhanifa mhanifa

12-11-2022

Answer:

The numbers are 72 and 11

Step-by-step 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

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