Answer:
1. The larger number is 2x + 7. The smaller number is x.
Let x be the smaller number
(7 + 2x) + x = 43
Since they are all in addition, we can get rid of the parenthesis.
7 + 2x + x = 43
2x and x are similar variables, we can add them both together.
7 + 3x = 43
7 + (-7) + 3x = 43 + (-7)
3x = 36
3x/3 = 36/3
x = 12
Let's check
[7 + 2(12)] + 12
(7 + 24) + 12
31 + 12 = 43