Answer:
There are 3 possibilities:
Step-by-step explanation:
This logic puzzle makes use of the relations between numbers and their mean.
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If two scores in the range of 7 to 26 have a ratio of exactly 3, they must be either 7 and 21, or 8 and 24. In order for the mean to be exactly 16, the total of the 5 scores must be 5×16 = 80.
<h3>one solution</h3>If the 3:1 range involves scores of 21 and 7, then we know ...
Alec got 7
Igor got 21
The total of these and the score of 26 is 54. The remaining two scores must total 80-54 = 26. We know that there must be two scores that have a difference of 8, so there are two possibilities:
Molly got 26 and Bryn got 18, leaving Suzy with a score of 8.
Molly got 17 and Bryn got 9, leaving Suzy with a score of 26.
The possibilities here are ...
Alec 7, Bryn 18, Igor 21, Molly 26, Suzy 8
Alec 7, Bryn 9, Igor 21, Molly 17, Suzy 26
<h3>another solution</h3>If the 3:1 range involves scores of 24 and 8, then we know ...
Alec got 8
Igor got 24
The total of these and the score of 26 is 58. The remaining two scores must total 80-58 = 22. That two scores have a difference of 8 leaves open one possibility: the remaining two scores are 7 and 15. (If one were 18=26-8, the other would be 22-18=4, too low for the given range.)
Alec 8, Bryn 7, Igor 24, Molly 15, Suzy 26
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Possible marks are ...
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<em>Additional comment</em>
When two numbers are required to have a specific sum (s) and a specific difference (d), the two numbers are (s+d)/2 and (s-d)/2.
Answer:
135°
Step-by-step explanation:
The reference angle appears to be about 45°, so a reasonable estimate of the angle size is 180° -45° = 135°.
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You can do an eyeball comparison with the figure attached to see that the angle is about 135°
This is also the value I see when I place my protractor against the screen.
