Question 73564
"the difference between two numbers is 24." 
Let the smaller number = x
Then the larger number =(x+24)
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If the larger is divided by the smaller, the quotient is 4 and the remainder is 3. Find the numbers.
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A quotient of 4 with a remainder of 3 is 4 & 3/4 or a decimal of 4.75.
:
{{{((x+24))/x}}} = 4.75
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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
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:
Check on a calc  30.4/6.4 = 4.75