+0  
 
0
53
1
avatar

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?

 Aug 9, 2021
 #1
avatar+125 
+1

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=\(9\)

 Aug 9, 2021

42 Online Users

avatar
avatar