SOLUTION: The quotient of two numbers is 4 and there difference is 39 what is the smaller number of that to

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Question 1122916: The quotient of two numbers is 4 and there difference is 39 what is the smaller number of that to
Found 3 solutions by Boreal, MathLover1, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
x/y=4
x-y=39,since x is larger
Therefore, x=y+39
(y+39)/y=4
y+39=4y
3y=39
y=13 ANSWER
x=52

Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!

let's numbers be and
given:
the quotient of two numbers is which meas
...eq.1

and there difference is which meas
...eq.2
start with eq.1 and solve it for :
...eq.1
...eq.1a
go to eq.2, substitute from eq.1a




go back to eq.1a, find


so, your numbers are: (the smaller number) and



Answer by ikleyn(53765)   (Show Source): You can put this solution on YOUR website!
.
Obviously, the numbers are x and 4x, where x is the common measure.


Then the difference 4x -x = 3x is equal to 39  ---->  hence,  x = 39/3 = 13.


Answer.  The numbers are 13 and 4*13 = 52.


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