The letters of the alphabet are each assigned a random integer value, and H = 10. The value of a word comes from the sum of its letters' values. If MATH is 35 points, TEAM is 42 points and MEET is 50 points, what is the value of A?
+309 Answer: \(9\)
Solution:
If H=10, then the following is true:
M+A+T=25
T+E+A+M=42
M+2E+T=50
Notice that TEAM contains MAT in it. So you can take out the MAT and replace it with 25.
E+25=42
E=17
Putting this value of E into MEET gives the following:
M+2(17)+T=50
M+34+T=50
M+T=16
Going back to the first one, you can see that MAT contains MT. Substituting the value found for M+T into MAT gives this:
A+16=25
A=\(9\)
