Answer:
6. The number is
7. The two numbers are and
Step-by-step explanation:
Question six can be re-worded to create the following expression:
Solve for x to find the number:
Question seven can be solved by first listing the constraints (assuming x is smaller than y):
To get the numbers, we can create a system of linear equations. First, solve for in each expression:
Solve for :
Solve for :
Answer:
262 and 263 are consecutive natural numbers whose sum is 525.
Step-by-step explanation:
Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (,
) We can interpret the statement mathematically by means of the following expression:
Where ,
,
.
This system is reduced to a single equation and solved afterwards:
Now we evaluate and
to obtain the natural numbers:
262 and 263 are consecutive natural numbers whose sum is 525.