Answer:
Let the total number of deer in the herd be x. According to question, \[\frac{x}{2}+\frac{3}{4}\left( x-\frac{x}{2} \right)+9=x\] or, \[\frac{x}{2}+\frac{3}{4}\times \frac{x}{2}+9=x\] or, \[\frac{x}{2}+\frac{3x}{8}+9=x\] or, 7x + 72 = 8x or, \[7x-8x=-72\] or, \[-x\text{ }=-72\,\,\,or,\,\,x\text{ }=\text{ }72\] Hence, the required number of deers in the herd are 72.
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