## Find the numbers: ratio is 3:4, sum is 98, product is 768

Fractions, ratios, percentages, exponents, number patterns, word problems without variables, etc.
angelbaby
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### Find the numbers: ratio is 3:4, sum is 98, product is 768

Here is the problem: Two numbers are in the ratio 3:4. Find the numbers if
A. their sum is 98.
B. their product is 768.

stapel_eliz
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What have you tried? How far did you get? Where are you stuck?

You named the numbers, something maybe like "x" and "y", and used the ratio information:

. . . . .$\frac{x}{y}\, =\, \frac{3}{4}$

Then you noted that x + y = 98, so y = 98 - x, so:

. . . . .$\frac{x}{98\, -\, x}\, =\, \frac{3}{4}$

And... then what? Or, if you used some other method, what was it?

angelbaby
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### Re: Find the numbers: ratio is 3:4, sum is 98, product is 768

I am trying to find the two numbers whose sum is 98.
The answer guide says 42 and 56. I want to know how they came up with these two numbers.

Martingale
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### Re: Find the numbers: ratio is 3:4, sum is 98, product is 768

I am trying to find the two numbers whose sum is 98.
The answer guide says 42 and 56. I want to know how they came up with these two numbers.
solve...
. . . . .$\frac{x}{98\, -\, x}\, =\, \frac{3}{4}$
for x. That will get you one number. Then you should be able to easily find the other.