[tex] \qquad\huge \rm༆ Answer ༄[/tex]
Let's use the formula to fund mean here ~
[tex] \boxed{ \sf mean = \frac{sum \: of \: all \: terms}{number \: of \: terms} }[/tex]
That is ;
[tex]\qquad \sf \dashrightarrow \: 41 = \dfrac{32 + 31 + 42 + a + a + a}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: (41 \times 6) = 105 + 3a[/tex]
[tex]\qquad \sf \dashrightarrow \: 246 = 105 + 3a[/tex]
[tex]\qquad \sf \dashrightarrow \: 3a = 246 - 105[/tex]
[tex]\qquad \sf \dashrightarrow \: 3a = 141[/tex]
[tex]\qquad \sf \dashrightarrow \: a = 141 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: a = 47[/tex]
Therefore the value of a is 47
