Answer:
The larger number = 116
Step-by-step 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
[tex]x+12=50[/tex]
subtract 12 from both sides
[tex]x+12-12=50-12[/tex]
Simplify
[tex]x=38[/tex]
Therefore,
- The larger number = x+78 = 38+78 = 116
Thus, the larger number = 116
