A numerical value is assigned to each letter of the alphabet. The value of a word is determined by adding up the numerical values of each of its letters. The value of SET is 2, the value of HAT is 7, the value of TASTE is 3, and the value of MAT is 4. What is the value of the word MATH?
A number or a short expression. Spacing and $ signs are ignored.
Solution
From the given information, we know that S+E+T=2, H+A+T=7, T+A+S+T+E=3, and M+A+T=4. Since T+A+S+T+E=3 and S+E+T=2, then T+A=3−2=1. Since H+A+T=7 and T+A=1, then H=7−1=6. Since M+A+T=4 and H=7, then M+(A+T)+H=4+6=10. Therefore, the value of the word MATH is 10.
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