Question

Sum of two numbers is 95. If one number exceeds the other by 15, find the number.

Answer 1

40;55

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.

Answer 2

The numbers are 40 and 55.

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.