Problema Solution

Sam's mark for English was 18 less than his Maths mark, but 6 more than his Science mark. His average mark for the three subjects was 43. What was his mark for Maths?

Answer provided by our tutors

We can write:


Math mark: x

English mark: x-18

Science mark: (x-18)-6 = x-24


Therefore there averages can be written as:


[x+(x-18)+(x-24)]/3=43


Solving for x, we get:

x=57