Question

find the smallest number which when divided by 6,7 or 8 will leave ramainder 5 in each case

Answer 1

173 Is the smallest number which when divided by 6 ,
7 or 8 will leave remainder 5 in each case.
$173 \div 6 = 28 + 5 \div 6. \\ 173 \div 7 = 24 + 5 \div 7. \\ 173 \div 8 = 21 + 5 \div 8.$