Hello there. To solve this question, we'll have to remember how to translate a statement to a mathematical equation and then solve the equation for a number.
Twice a number increased by 7 is 35. We want to find that number.
In this case, say this number is n.
Twice this number is the same as multiplying this number by 2, hence
Now increasing it by 7 is the same as adding 7 to the expression, therefore
And this must be equal to 35
Now we have to solve this equation for n.
Subtract 7 on both sides of the equation
Divide both sides of the equation by a factor of 2
This is the number we're looking for.