5. I am a 4-digit number. I am divisible by 6, but not by 9. The product of my first two digits is 20, and the difference betwee
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Let 'x' be the problems worth 2 points.
Let 'y' be the problems worth 3 points.
Since, there are 38 total problems.
So, (equation 1)
x = 38-y
Since, a perfect score is 100 points.
So, (equation 2)
Substituting the value of 'x', we get
y = 24
x+y = 38
x = 38-24 = 14
So, 14 problems are worth 2 points and 24 problems are worth 3 points.