Hey there!!
Let us take the first number as ' x '
According to the question
The second number exceeds the first number by 15
hence, the second number = x+15
The sum of both the numbers = 69
which means
x + x + 15 = 69
2x+15 = 69
Subtracting by 15 on both sides
2x + 15 - 15 = 69 - 15
2x = 54
dividing by 2 on both sides
x = 27
first number = 27
second number = 27 + 15
= 42
Hope my answer helps!