Answer: The required number is 74.
Step-by-step explanation: Given that 10 less than half a number is 27.
We are to find the number.
Let x represents the given number.
Then, according to the given information, we have
[tex]\dfrac{1}{2}x-10=27\\\\\\\Rightarrow \dfrac{1}{2}x=27+10\\\\\\\Rightarrow \dfrac{1}{2}x=37\\\\\\\Rightarrow x=37\times2\\\\\\\Rightarrow x=74.[/tex]
Thus, the required number is 74.