Here's the work and the answer. I hope this helps.
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
So, the two triangles are congruent. It follows that CF=FE, and in particular
And since x=3, the length of EF is
multiply everything together
there are 26 letters and 10 digits
so 26 x 26 x 10 x 10 x 10 = 676,000 combinations
Remark
As long as the representation shows the numbers come one after another, you can get x to be anything.
Givens
x Can be the second number
x - 1 Can be the first number
x + 1 Can be the third number
x + 2 Can be the fourth number
Equation
x + x + 2= 132
Solution
2x + 2 = 132
2x = 130
x = 65
So the 4 numbers are 64 65 66 67
Check
The second and fourth numbers added together = 65 + 67 = 132
