The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers?
x+y = 27
y = x+3
Now just solve for x and y.
The answers are 12 and 15 because 27-3=24 and 24/2 is 12. 12 is the smaller number and 12+3 (15) is the larger number.
To find the two numbers, we can set up a system of equations based on the given information.
Let's assume the smaller number is x, and the larger number is y.
We are given two pieces of information:
1. The sum of the two numbers is 27: x + y = 27
2. The larger number is 3 more than the smaller number: y = x + 3
Now we can solve this system of equations using substitution or elimination.
Using substitution:
From equation 2, we can express x in terms of y by subtracting 3 from both sides: x = y - 3
Now, substitute this value of x into equation 1: (y - 3) + y = 27
Simplify the equation: 2y - 3 = 27
Add 3 to both sides: 2y = 30
Divide both sides by 2: y = 15
Now, substitute this value of y back into equation 2 to find x: x = 15 - 3 = 12
So, the two numbers are 12 and 15.