Question

The difference between two integers is at most 16. the smaller integer is 12. what is the larger integer

Answer 1

The difference between two integers is at most 16
x1 - big integer
x2- small integer
$x_1 -x_2 \leq 16$

the smaller integer is 12
so
x2 = 12

substitution

$x_1 -12 \leq 16$

solve for x1

however, note the fact larger
thus meaning
x1 > x2 applies to this problem