There are three consecutive odd integers. Three times the largest is seven times the smallest. What are the integers?
Question
Answer:
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
I really hope this helps!
Best wishes :)
solved
general
10 months ago
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