the difference between two whole numbers is 15.one of the numbers is 1.there are two possibilities for the second number. what are they?
place 1 on its place on a number line, now count 15 to the right, then 15 to the left
I get 16 with1 and -14 with 1
how far from 1 to 16 ?
how far from -14 to 1 ?
16, -16.
16-1 = 15
| 1-16 | = 15
To find the two possibilities for the second number, we need to use the information provided.
Let's call the second number "x".
According to the problem, the difference between the two numbers is 15. So, we can set up an equation:
x - 1 = 15
To find the two possibilities, we can solve this equation for "x".
x - 1 = 15
Adding 1 to both sides:
x = 15 + 1
Simplifying the right side:
x = 16
So, the first possibility for the second number is 16.
Now, let's consider the second possibility.
We can also solve the equation by changing the order of the subtraction:
1 - x = 15
Adding x to both sides:
1 = 15 + x
Subtracting 15 from both sides:
-14 = x
So, the second possibility for the second number is -14.
Therefore, the two possibilities for the second number are 16 and -14.
To find the two possibilities for the second number, we can use the given information that the difference between the two whole numbers is 15 and one of the numbers is 1.
Let's call the second number "x".
According to the problem, the difference between the two whole numbers is 15. We can express this mathematically as:
1 - x = 15
To find the first possibility, we can substitute 15 for x in the equation:
1 - x = 15
1 - 15 = 15
-14 = 15
However, this doesn't seem possible because whole numbers are positive integers and -14 is not a whole number.
To find the second possibility, we need to switch the positions of 1 and x in the equation:
x - 1 = 15
Now we can solve for x:
x - 1 = 15
Adding 1 to both sides:
x - 1 + 1 = 15 + 1
x = 16
Therefore, the two possibilities for the second number are 16 and -14. However, since we are dealing with whole numbers, only the number 16 is a valid option.