Question

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

Answer 1

Yes bc 31, 21 fits into all of the criterias.

Answer 2

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 :)