Question

This semester, Gerry scored an average of $93$ on his five history exams. He got the same score on his first two exams, and then he got a $94$, an $85$, and a $90$ on the remaining exams. What score did he receive on his first two exams?

• A. $95$
• B. $96$
• C. $97$
• D. $98$
• E. $99$

Answer 1

The correct option is D $98$

Let the marks Gerry got in first two exams be $x$.
As per the problem, we have
$\frac{x+x+94+85+90}{5}=93$
$2x+94+85+90=465$
$2x=465-94-85-90$
$2x=196$
$x=98$
In his first two exams, he got $98$.