Answer: The required number is 13.
Step-by-step explanation: Given that the sum of twice a number and 10 is 36.
We are to find the number.
Let x represents the required number.
Then, according to the given information, we have
[tex]2\times x+10=36\\\\\Rightarrow 2x+10=36\\\\\Rightarrow 2x=36-10\\\\\Rightarrow 2x=26\\\\\Rightarrow x=\dfrac{26}{2}\\\\\Rightarrow x=13.[/tex]
Thus, the required number is 13.