How do you find the two numbers whose ratio is 3 to 4 and that have a sum of 35?

1 Answer
Alan P.
Jul 26, 2016

The two numbers are {105/4, 35/4}

Explanation:

Let the two numbers be a and b such that
[1]color(white)("XXX")a/b=3
and
[2]color(white)("XXX")a+b=35

From [1] (assuming this is a meaningful expression: b!=0)
we have
[3]color(white)("XXX")a=3b

Then substituting 3b for a in [2]
[4]color(white)("XXX")3b+b=35
or
[5]color(white)("XXX")b=35/4

Combining [3] and [5]
[6]color(white)("XXX")a=105/4

Related questions
See all questions in Equations with Ratios and Proportions
Impact of this question
3219 views around the world
You can reuse this answer
Creative Commons License