SOLUTION: Megan�s verbal and math scores on the SAT was 1094. Her math score was 248 points higher than her verbal score. What were her math and verbal SAT scores?

Question 145603: Megan�s verbal and math scores
on the SAT was 1094. Her math
score was 248 points higher
than her verbal score. What were
her math and verbal SAT scores?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x=verbal score and y=math score

"Megan�s verbal and math scores on the SAT was 1094" translates to

"Her math score was 248 points higher than her verbal score" translates to

Start with the given system

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Combine like terms on the left side

Subtract 248 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

Now that we know that , we can plug this into to find

Substitute for each

Simplify

So our answers are and

So the verbal score was 423 and the math score was 671.
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