SOLUTION: the difference between two numbers is 24. If the larger is divided by the smaller, the qutient is 4 and the remainder is 3. Find the numbers.

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Question 73564This question is from textbook
: the difference between two numbers is 24. If the larger is divided by the smaller, the qutient is 4 and the remainder is 3. Find the numbers. This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
"the difference between two numbers is 24."
Let the smaller number = x
Then the larger number =(x+24)
:
If the larger is divided by the smaller, the quotient is 4 and the remainder is 3. Find the numbers.
;
A quotient of 4 with a remainder of 3 is 4 & 3/4 or a decimal of 4.75.
:
%28%28x%2B24%29%29%2Fx = 4.75
:
Mult equation by x:
4.75x = x + 24
:
4.75x - x = 24
:
3.75x = 24
x = 24/3.75
x = 6.4 is the smaller number; 30.4 is the larger
:
:
Check on a calc 30.4/6.4 = 4.75