Question

each letter of the alphabet is assigned a random integer value, and the letter is worth points. the value of a word comes from the sum of its letters' values. if is worth points, is worth points and is worth points, what is the value of ?

Answer 1

The value of a= 17.

We begin by noting that team and meet have two common letters, e and t. Since meet is worth 4 points less than team, it must be that the value of

e+t is 4.

Furthermore, we have that m−h=5−10=−5, so m−e=meet−e−t=38−e−t=28.

Since 3e+t=4 and m−e=28, solving the system gives e=6 and t=2.

Now math has 1m, 1a, 1t and 1h.

We have that 35=math=m+a+t+h=6+a+2+10.

Therefore, a= 17 .

Question

Each letter of the alphabet is assigned a random integer value, and the letter $h$ is worth $10$ points. The value of a word comes from the sum of its letters' values. If $math$ is worth $35$ points, $team$ is worth $42$ points and $meet$ is worth $38$ points, what is the value of $a$?