Question

Average of 22 numbers is 58. If the average of the first eight and last seven numbers is 65.5 and 48.5 respectively, and if the eleventh number is 35% more than the tenth number and the twelfth number is (50/9)% less than the eleventh number, then find the eleventh number.

Q: Answer-Average of 22 numbers is 58. If the average of the first eight and last seven numbers is 65.5 and 48...

ATQ, Let the tenth number be 10x. So, the eleventh number 1.35 10x 13.5x. Twelfth number 8509 1100 13.5x 34x3. So, 10x 13.5x 34x3 58 22 8 65.5 7 48.5 290. Or, 100x3 290. Or, x 8.7. So, the eleventh number 13.5 8.7 117.45.

A 150.77

B 125.99

C 117.45

D 137.55

E None of these

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Average of 22 numbers is 58. If the average of the first eight and last seven numbers is 65.5 and 48.5 respectively, and if the eleventh number is 35% more than the tenth number and the twelfth number is (50/9)% less than the eleventh number, then find the eleventh number.

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