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UKMT Junior Kangaroo, 2024

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Harvey writes a number on each face of a cube. Then, for each vertex, he adds the numbers on the three faces that meet at that vertex. The totals he gets for vertices $R$ , $S$ and $T$ are 14, 16 and 24, respectively. What total does he get for vertex $U$ ?

(A) $15$ (B) $19$ (C) $22$ (D) $24$ (E) $26$

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