Let's call the two numbers
and
.
Given these variables, we can say:
, based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

To solve, we can simply substitute
in for
in the second equation and solve.


- Get terms on the left side to a common denominator for easier addition


- Cross multiplication (
)


- Subtract
from both sides of the equation

- Factor left side of the equation

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since
is not positive in this case,
is not a solution.
Thus,
is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.
Hello,
Let's assume n,n+1,n+2,n+3,n+4 the 5 numbers
n+(n+1)+...+(n+4)=5n+10=265
5n=265-10
5n=255
n=51
The 5th number is 51+4=55
Answer:
2000
Step-by-step explanation:
1km=1000m
2km=2000m
Answer:
8n + 46
Step-by-step explanation:
Combine like terms. First, simplify the signs. two negatives directly next to each other equals one positive:
- (-5n) = + 5n
30 + 5n + 16 + 3n = (30 + 16) + (5n + 3n)
(30 + 16) = 46
(5n + 3n) = 8n
8n + 46 is your answer.