Question 1123118

The sum of a student's three scores is 210. If the first is 23 points more than the second, and the sum of the first two is 15 more than twice the third, what was the first score?
<pre>You don''t need to find what's NOT asked. Therefore, let FIRST SCORE be F
Then 2nd score = F - 23
Also, F + F - 23 = 2T + 15, with T being the 3rd score
2F - 23 - 15 = 2T
2F - 38 = 2T
2(F - 19) = 2(T)
F - 19 = T
We then get: F + F - 23 + F - 19 = 210
3F - 42 = 210
3F = 252
F, or 1st score = {{{highlight_green(matrix(1,3, 252/3, "=", 84))}}}