Esme is thinking of two integers. One integer is 4 times the other, and their sum is 18 more than 3 times the smaller I integer. What is the smaller integer esme is thinking of?
x = smaller. So,
4x = larger
now what else do you know?
I figured out the answer was 9. Thanks for your help though!
To solve this problem, let's break it down step by step.
Let's assume the smaller integer Esme is thinking of is "x".
According to the given information:
"One integer is 4 times the other" means that the larger integer is 4 times the smaller integer. So, the larger integer would be 4x.
"Their sum is 18 more than 3 times the smaller integer" means that if we add the smaller integer (x) and the larger integer (4x), it would be equal to 3 times the smaller integer (3x) plus 18.
So, we can set up the equation as follows:
x + 4x = 3x + 18
Simplifying the left side:
5x = 3x + 18
Subtracting 3x from both sides:
2x = 18
Dividing both sides by 2:
x = 9
Therefore, the smaller integer Esme is thinking of is 9.