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VTMO 2017 — Grade 7 — final Question 6

VTMO · VTMO 2017 — Grade 7 — final

Question 6

$a$)Two ten-player teams are entirely truthful or entirely lying. One player reports one goal, Chau two, one three, and everyone else five. The truthful team wins $20 : 17$. Is Chau truthful? $b ) A =$ abcdef has increasing digits. Find the digit sum of $9 A$.