SOLUTION: One positive number is 11 times another number. The difference between the two numbers is 750. The two numbers in increasing order are

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Question 1185569: One positive number is 11 times another number. The difference between the two numbers is 750.
The two numbers in increasing order are

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


let numbers be and
if one positive number is times another number, we have
.....eq.1
if the difference between the two numbers is , we have
......eq.2
substitute from eq.1 in eq.2



go to
.....eq.1, substitute


so, your numbers in increasing order are: ,


Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
One positive number is 11 times another number. The difference between the two numbers is 750.
The two numbers in increasing order are
~~~~~~~~~~~~~~~~~~~

The numbers are  x  and  11x,  in the increasing order.


    11x - x = 750

       10x  = 750

         x  = 750/10 = 75.


ANSWER.  In increasing order, the numbers are 75 and 11*75 = 825.

Solved.



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