SOLUTION: the average age of 14 students and a teachers of a class is 17 year out of these the average age of 5 students is 14 years and that of other 9 students is 16 years then what is age

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Question 826169: the average age of 14 students and a teachers of a class is 17 year out of these the average age of 5 students is 14 years and that of other 9 students is 16 years then what is age of teacher
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Equation for the teachers and students:
Sum of all their ages = +s%5B1%5D+
+s%5B1%5D+%2F+15+=+17+
+s%5B1%5D+=+17%2A15+
+s%5B1%5D+=+255+
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Equation for the 5 students:
Sum of their ages = +s%5B2%5D+
+s%5B2%5D++%2F+5+=+14+
+s%5B2%5D+=+70+
---------------------
Equation for the 9 students:
Sum of the ages = +s%5B3%5D+
+s%5B3%5D++%2F+9+=+16+
+s%5B3%5D+=+9%2A16+
+s%5B3%5D+=+144+
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The teacher's age is +s%5B1%5D+-+%28+s%5B2%5D+%2B+s%5B3%5D+%29+
+s%5B1%5D+-+%28s%5B2%5D+%2B+s%5B3%5D%29+=+255+-+%28+70+%2B+144+%29+
+s%5B1%5D+-+%28s%5B2%5D+%2B+s%5B3%5D%29+=+255+-+214+
+s%5B1%5D+-+%28s%5B2%5D+%2B+s%5B3%5D%29+=+41+
The teacher is 41