SOLUTION: 1. Three times the larger of two numbers is equal to four times the smaller. THe sum of the numbers is 21. Find the numbers.
2. The larger of two numbers is 1 more than twice th
Question 107505: 1. Three times the larger of two numbers is equal to four times the smaller. THe sum of the numbers is 21. Find the numbers.
2. The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the numbers. Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website! We are asked to find two numbers, so we will need two variables. Fortunately, there is enough information to establish two equation relationships between these numbers.
Let's call the larger number y and the smaller number x. The first fact we are given is that:
Eq 1)
And the second thing we know is that:
Eq 2)
Let's begin by dividing both sides of Eq 1) by 3 resulting in:
Giving us an expression for y that we can substitute into Eq 2), thus:
, which can then be solved for
Therefore:
To check the answer, put the values into the first relationship,
