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

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (Show Source):
You can put this solution on YOUR website!
m, n in set of whole numbers and m
n-m=11 and n%2Fm=2%2B4%2Fm. Understand that a "remainder" counts denominations. Here, the denominator is m, so remainder of 4 means 4%2Fm.

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, n-m=11 AND n%2Fm=2%2B4%2Fm ).


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