he sum of two numbers if 32 and their difference is 18. find the two numbers.
write a system of equations using the given information
Let x and y be the two numbers.
The system of equations would be:
x + y = 32 (the sum of the two numbers is 32)
x – y = 18 (the difference of the two numbers is 18)
To solve this system, we can use either elimination or substitution method.
Using elimination, we can add the two equations to eliminate y:
(x + y) + (x – y) = 32 + 18
2x = 50
x = 25
Substituting x = 25 into one of the equations, we can solve for y:
x + y = 32
25 + y = 32
y = 7
Therefore, the two numbers are 25 and 7.