Answer:
[tex]a \: = 24[/tex]
Step-by-step explanation:
[tex] \frac{2}{3} a \: = 16[/tex]
Multipicative inverse of a number
[tex]a \: is \: {a}^{ - 1} such \: that \: a \: \times {a}^{ - 1} = 1[/tex]
Therefore,
[tex] \frac{2}{3}a \: = 16[/tex]
Multiply both sides by multiplicative inverse of 2/3 which is 3/2
[tex] \frac{2}{3} a \: \times \frac{3}{2} = 16 \times \frac{3}{2} [/tex]
[tex]a \times 1 = 8 \times 3[/tex]
[tex]a \: = 24[/tex]
