SOLUTION: Two positive numbers differ by 11. when the larger number divided by the smaller number, the quotient is 2 and the remainder is 4. find the numbers

Question 714754: Two positive numbers differ by 11. when the larger number divided by the smaller number, the quotient is 2 and the remainder is 4. find the numbers
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
m, n in set of whole numbers and m
and . Understand that a "remainder" counts denominations. Here, the denominator is m, so remainder of 4 means .

For solving, start with the quotient equation and clear the fractios, multiplying by m on both sides. Work with this a while and you should be able to solve the system (which initially is as shown, AND ).

ANSWER: I will skip the steps here, but m=7 and n=18. Be sure you can produce the necessary steps to finish.
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