Respuesta :
The numbers are 40 and 55.
Step-by-step explanation:
Given,
Sum of two numbers is 95.
One number exceeds the other by 15.
To find the numbers.
Let,
The two numbers are x and x+15
According to the problem,
x+x+15 = 95
or, 2x = 95-15
or, 2x = 80
or, x = 40
Hence,
The numbers are 40 and 40+15 = 55.
Answer:
40;55
Step-by-step explanation:
To do this we can set up a simple system of equations.
We can name the first number x
and the second number y.
This said, we can use the information we know to set up the following equations:
x+y=95
x+15=y
Now, we can get ready for substitution by rearranging one equation
x=y-15
I did that by subtracting 15 from both sides to the second equation.
Now, I can replace x with y-15 in the first equation in order to ensure that it only has one variable.
y-15+y=95
I can add y together.
2y-15=95
Add 15 to both sides.
2y=110
Divide both sides by 2.
y=55
Now, we just have to put that back into the equation.
x+55=95
Subtract 55 from both sides.
x=40
The two numbers are 40 and 55.