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Two numbers have an arithmetic mean of 25 and a geometric mean of 15. What is the larger number?

Competition practiceStatistics

A30
B45
C40
D35

Step-by-Step Solution

Sum

= 50

, product

= 1 5^{2} = 225

. They are roots of

t^{2} - 50 t + 225 = 0 : t = \frac{50 \pm 40}{2}

, i.e. 45 and 5.

Answer: B) 45

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