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In a school, the average age of students is 13 years and the average age of 14 teachers is 34 years. If the average age of teachers and students combined is 14 years, then the number of students is?

A250

B260

C270

D280

Answer:

D. 280

Read Explanation:

Let the number of students be x 14 = (13x + 14 × 34)/(x + 14) 196 + 14x = 13x + 476 x = 280


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