It’s been a while since I’ve done math like this

Question

So here’s the string of equations given

7+e+2=14

m+3+c=19

r+f+5=29

6+b+l=?

now the intended pattern was for each letter to represent its place in the alphabet making ?=20 but I want to also find the equation that represents those letters as simple variables and finding a correlation between the equations.

so in other words I’m looking for an equation that fits

f(1)=14

f(2)=19

f(3)=29 and so on.

Answer 1

To find an equation that represents the relationship between the given equations and the positions of the letters in the alphabet, you can start by representing each letter with its position in the alphabet. The position of a letter can be calculated as follows:

- A=1, B=2, C=3, ..., Z=26

Now, you have the following equations based on the given information:

1. 7 + e + 2 = 14

2. m + 3 + c = 19

3. r + f + 5 = 29

You can represent each letter with its position in the alphabet and rewrite these equations as follows:

1. 7 + (5) + 2 = 14 (e is the 5th letter)

2. (13) + 3 + (3) = 19 (m is the 13th letter, c is the 3rd letter)

3. (18) + (6) + 5 = 29 (r is the 18th letter, f is the 6th letter)

Now, you can see that each equation follows the pattern of adding the positions of the letters. Let's denote the position of the first letter as "a," the position of the second letter as "b," and the position of the third letter as "c." Then, the equations can be written as:

1. 7 + a + b = 14

2. a + 3 + c = 19

3. b + f + 5 = 29

Now, if you want to find an equation that represents the relationship between these equations, you can try to find a pattern in the constants (7, 3, 5) and how they relate to the positions of the letters (a, b, c). It seems that the constants are increasing by 2 each time.

So, the general equation can be written as:

a + b + c = x

where "x" is the result you want to find. In this case, for the fourth equation:

6 + b + l = ?

You can substitute the values of "a," "b," and "c" as the positions of the letters and calculate the result:

a = 1 (position of "6" in the alphabet)

b = 2 (position of "b" in the alphabet)

c = 12 (position of "l" in the alphabet)

Now, plug these values into the equation:

1 + 2 + 12 = 15

So, the result of the fourth equation is 15. However, this doesn't match the pattern you mentioned (20). If you want to fit the pattern, you would need to modify the constants or the positions of the letters accordingly.