Question

(i) 31
(ii) 2 O
3
Find the digits p and q if p7q6 is divisible by 24.
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Answer 1

$\boxed{ \sf \underline{\underline{ SOLUTION}}}$

$\sf \red{we \: have \: p7q6} \\ \sf \green{ if \: we \: put \: p = 2 \: and \: q = 3} \\ \sf \pink{then \: the \: sum = p + 7 + q + 6 } \\ \sf \pink{= 2 + 7 + 3 + 6 = 9 + 9 } \\ \sf \gray{ = 18} \\ \sf \purple{and \: 2736 \: is \: divisible \: by \: 3 \: and \: 24 \: also} \\ \sf Hence, \boxed{ \red{ \sf p = 2}} \: an \: \boxed{ \orange{ \sf q = 3}}$