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

Algebra ->  Linear-equations -> SOLUTION: One positive number is 11 times another number. The difference between the two numbers is 750. The two numbers in increasing order are       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!


let numbers be x+and+y
if one positive number is 11 times another number, we have
x+=11y.....eq.1
if the difference between the two numbers is 750, we have
x+-y=750......eq.2
substitute x from eq.1 in eq.2
11y-y=750
10y=750
y=75
go to
x+=11y.....eq.1, substitute x
x+=11%2A75
x+=825
so, your numbers in increasing order are: +75, +825


Answer by ikleyn(52781) About Me  (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.