There are two numbers, one is 7 more than twice the other. the sum of the numbers is 43.

the numbers in ascending order

is it 31, 12?

Lets say two numbers are X and Y
X=2Y+7
X+Y=43 is given

now do simplify them more
X-2Y=7
X+Y=43

subtract both equations
-3Y=7-43
-3Y=-36
Y=12

put value of Y in the equation
X+Y=43
X+12=43
X=31

numbers are 31,12

Yes you are right :)

I'm sure the answer is a

First subtract 10 from both side
y^2+6y-16=0
(y+8)(y-2)=0
-8 and 2