Question 1132777
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Since there are only two test scores, with an average of 7 out of 10, let the two scores be 7+x and 7-x. Then, since the product of her two test scores is 45,<br>
{{{(7+x)(7-x) = 45}}}
{{{49-x^2 = 45}}}
{{{x^2 = 4}}}
{{{x = 2}}}<br>
The two test scores are 7+x=9 and 7-x=5.<br>
Of course, if an algebraic solution is not required, the question can be answered easily by trial and error -- what two numbers whose product is 45 have an average of 7?