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Averages · Question 15 of 62

Question 15

MediumOriginal question

The average of a, b and c is 19, and the average of b, c and d is 16. If a=26a = 26, what is d?

Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. a+b+c=3×19=57a + b + c = 3 \times 19 = 57 and b+c+d=3×16=48b + c + d = 3 \times 16 = 48.

  2. Subtracting: a−d=57−48=9a - d = 57 - 48 = 9.

  3. d=26−9=17d = 26 - 9 = 17.

Worth noting

The averages differ by 3, but the totals differ by 3×3=93 \times 3 = 9. Using 3 gives 23.

Concept
Comparing two overlapping triples
Typical time
60 s
Your time
—
The rule this testsSimple average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.