Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. How do you find the numbers?
See full process for solving this word problem below in the Explanation section:
Let us first deal with the first sentence of this word problem.
Let's call the larger number
We know from the first sentence:
We know from the second sentence:
Let's solve this second equation for
Now we can substitute
Next we can substitute
The larger number is 12 and the smaller number is 9