> when a is divided by b the quotient is 7 and the remainder is 8.
This is equivalent to
- a = 7b + 8. [Eq. 1]
You’re also told:
- a - b = 74. [Eq. 2]
These are two linear equations in two unknowns. Solving them simultaneously (either by substitution or elimination) is fairly straightforward. My first step would be to rearrange Eq. 2 as
- a = b + 74
and then eliminate a by combining the two equations.
Does that help?