There are three consecutive odd integers. Three times the largest is seven times the smallest. What are the integers?
Accepted Solution
A:
Hello there!
This is how I would map out this problem...
First I would represent the smallest integer with the variable x. Since they are consecutive odd integers, add 2 to the middle integer and add 4 to the largest.
smallest: x middle: x+2 largest: x+4
Now we need to find a way to solve for x. Since 3 times the largest is 7 times the smallest, we can set up an equation like this... 3(x+4)=7x
Now solve it! 3(x+4)=7x 3x+12=7x 12=4x x=3
Now let's go back to our original data... smallest: x •Since the smallest is x, that means the smallest is going to be 3. middle: x+2 •since the middle one is x+2, plug in 3 for x and we get 5. largest: x+4 •since the largest is x+4, plug in 3 for x and we get 7.
This means the answer is... Smallest: 3 Middle: 5 Largest: 7