What is the quotient of 4536 and 36?

126.

Step-by-step explanation:

Using long division:

        1 2 6

       

36 ) 4536

       36

       ---

         93

          72

          ---

          216

          216

           

Ok so we have 2 equations here...

x + y = 76
1/3x + 1/2y = 34

First solve for x in the 1st equation...

x + y = 76
x = 76 - y

Now substitute 76-y for x in the 2nd equation...

1/3x + 1/2y = 34
1/3(76-y) + 1/2y = 34
76/3 - 1/3y + 1/2y = 34
-1/3y + 1/2y = 34 - 76/3
-2/6y + 3/6y = 34 - 25 1/3
1/6y = 8 2/3
y = 8 2/3 ÷ 1/6
y = 8 2/3 × 6
y = 52

Now substitute 52 into the 1st equation for y

x + y = 76
x + 52 = 76
x = 76 - 52
x = 24

The 2 numbers are 24 and 52.

The difference between the numbers is
52 - 24 = 28