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प्रश्न
If a < b < 2a and the mean and median of a, b and 2a are 15 and 12 respectively, then a = ______.
रिकाम्या जागा भरा
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उत्तर
If a < b < 2a and the mean and median of a, b and 2a are 15 and 12 respectively, then a = 11.
Explanation:
Since a < b < 2a, the median is b, so b = 12.
The mean gives \[\frac{a+b+2a}{3}=15\] or 3a + b = 45.
Substituting b = 12 gives a = 11.
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