Please answer soon and correctly!!
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 38 points, what is the value of A?

Answer:

M  +  A     +   T    +   10  =   35   →    M  +   A    +   T    =   25     (1)

T   + E    +   A      +   M  =    42      (2)

M  + E     +  E     +    T  =    38       (3)

If  we look at  (1)  and (2)   we  note  that

T  +  E   +  A    +  M  =  42

So

(M  +  A   +  T)    +   E   = 42

So

25   + E   = 42

E    = 17

Looking at (3)   we  have  that

M + E  + E  +  T    =  38

M  +  2(17)  + T =  38

M + T   =  38  - 2(17)

M + T  =  38  - 34

M + T    =  4

So...looking back at  (1)

M + A  +  T    =25

M + T  + A  =  25

4  + A    =25

A  = 21 is the answer

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