Integer Quotient Problem Two positive integers have a sum of 92.
If the larger integer is divided by the smaller one, the quotient is 3
and the remainder is 12. What are the two integers?

Suppose that we have x and y as the integers( x is bigger than y ).

As the question told :

x = 3y + 12

The integers have a sum of 92 which means :

x + y = 92 ==》( 3y + 12 ) + y = 92

==》 4y + 12 = 92

==》 4y = 92 - 12

==》 4y = 80

==》 y = 20

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x + y = 92 ==》x + 20 = 92

==》x = 92 - 20

==》x = 72

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