# I scored a mean of 80 marks for 3 tests, scoring 20 marks more for Science than Maths and 5 marks less for History than Maths. What was the score on the Maths test?

I scored a mean of 80 marks for 3 tests, scoring 20 marks more for Science than Maths and 5 marks less for History than Maths. What was the score on the Maths test?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

illpnthr21vw
Let marks scored in maths = n
Marks scored in science = n+20
Marks scored in History = n-5
According to question:
$⇒\frac{n+\left(n+20\right)+\left(n-5\right)}{3}=80\phantom{\rule{0ex}{0ex}}⇒n+n+20+n-5=80×3\phantom{\rule{0ex}{0ex}}3n+15=240\phantom{\rule{0ex}{0ex}}3n-240-15\phantom{\rule{0ex}{0ex}}3n=225\phantom{\rule{0ex}{0ex}}n=\frac{225}{3}\phantom{\rule{0ex}{0ex}}n=75$
Score of Maths Test = 75 marks.