Answer to Question #234480 in Combinatorics | Number Theory for Charity De la Torr

Question

angelie got a high score in her 60 item her score is so close to a perfect score it is divisible by 2 but it leaves 2 remainders when divided by 4?

Answer 1

Let $a=$ a score of Angelie: $a\leq60.$ Her score is divisible by 2,then $a=2k, 0\leq k\leq 30.$

Her score leaves 2 remainders when divided by 4, then $a=4m+2, 0\leq m\leq14.$

Her score is so close to a perfect score, then $m=14, a=58.$

Angelie got $58.$