Discussion

In the equation, H3 − H2 + 81 − 62 − 44 − H9 = −103 which digit does the symbol H stand for?

Answer: B

H stands for 7.

H3, H2 and H9 are two-digit numbers with tens digit H, so they are \(10H + 3\), \(10H + 2\) and \(10H + 9\).

\[ \begin{aligned} (10H + 3) - (10H + 2) + 81 - 62 \\ - 44 - (10H + 9) &= -103 \\ -33 - 10H &= -103 \Rightarrow H = 7 \end{aligned} \]

Check: \(73 - 72 + 81 - 62 - 44 - 79 = -103\). With H = 4, 5 or 9 the left side is −73, −83 or −123.

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