SOLUTION: One number exceeds another by 4. If three times the larger number is divided by the smaller number, the quotient is 4 and the remainder is 5. Find the numbers.

Question 1064576: One number exceeds another by 4. If three times the larger number is divided by the smaller number, the quotient is 4 and the remainder is 5. Find the numbers.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
x and y so that .

The description becomes .

THE STEPS

You want to simplify the system or at least work with the fractional equation, and then use either substitution method or elimination method to find each variable. The system itself as shown above is strictly the literal translation of the description, as clearly as that.

Just your ordinary Fractions skills to deal with that fractional second equation.
LCD is just x.
MULTIPLY left and right members by x.

Simpler system is .

-
Equivalent simpler system,

The First equation,

Substitute into the second equation.

-----------Use this to find y.
Remember the step way above? ?

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
One number exceeds another by 4. If three times the larger number is divided by the smaller number, the quotient is 4 and the remainder is 5. Find the numbers.

Let the smaller number be S
Then the larger is: S + 4
We then get:

3S + 12 = 4S + 5 -------- Denominators are equal, and so are the numerators
3S � 4S = 5 � 12
- S = - 7

it is that simple....nothing COMPLEX and/or CONFUSING!!
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