Answer:
The larger number = 116
Explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so

subtract 12 from both sides

Simplify

Therefore,
- The larger number = x+78 = 38+78 = 116
Thus, the larger number = 116