1/a-1/b=1/c
The problem given states that one over a subtracted by one over b is equivalent to one over c, in this problem it is asking us to find out what a, b, and c is to make this problem true. The first thing I did was trying to see if multiples of the same numbers work, in this case three. Next, I started to try different numbers at random, this kept going on until I tried six to replace a, and seven to replace b. The outcome for c was forty-two. I continued to use this process and found out it does not work for one as a, and two as b, because c ends up being the same number as b. I then tried a large number just to reassure myself it works for all the numbers. I used one hundred and seventy-four for a, and one hundred and seventy-five for b, the sum of it is 30,450 for c. To make this statement true, the values of a, b, and c are infinite due to the simple reason that numbers are never ending. To find the value of a, it must be one less than b. To find the value of b, it must be one more than a. To find the value of c, you must multiply a and b. To simplify things, a would be the number before b in consecutive order (1,2,3,4,5…) and c would be a and b multiplied.
i.e.
a= 5 a=271 a=1000
b=6 b=272 b=1001
c=30 c=73,712 c=1,001,000
a=b-1
b=a+1
c=a*b
The problem given states that one over a subtracted by one over b is equivalent to one over c, in this problem it is asking us to find out what a, b, and c is to make this problem true. The first thing I did was trying to see if multiples of the same numbers work, in this case three. Next, I started to try different numbers at random, this kept going on until I tried six to replace a, and seven to replace b. The outcome for c was forty-two. I continued to use this process and found out it does not work for one as a, and two as b, because c ends up being the same number as b. I then tried a large number just to reassure myself it works for all the numbers. I used one hundred and seventy-four for a, and one hundred and seventy-five for b, the sum of it is 30,450 for c. To make this statement true, the values of a, b, and c are infinite due to the simple reason that numbers are never ending. To find the value of a, it must be one less than b. To find the value of b, it must be one more than a. To find the value of c, you must multiply a and b. To simplify things, a would be the number before b in consecutive order (1,2,3,4,5…) and c would be a and b multiplied.
i.e.
a= 5 a=271 a=1000
b=6 b=272 b=1001
c=30 c=73,712 c=1,001,000
a=b-1
b=a+1
c=a*b