# Teaching Year Riddle

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Answered

Three teachers were discussing how long they had been teaching.

- Adrian and Betty had been teaching for a total of 36 years.
- Charles and Betty had been teaching for a total of 22 years.
- Charles and Adrian had been teaching for a total of 28 years.

How long had each been teaching?

Best answer

Adrian and Betty had been teaching for a total of 36 years. => A + B = 36 (1)

Charles and Betty had been teaching for a total of 22 years. => B + C = 22 (2)

Charles and Adrian had been teaching for a total of 28 years => A + C = 28 (3)

……

Solving the equations, **A = 21, B = 15, C = 7**

=> **Adrian** has been teaching for **21** Years; **Betty** for **15** Years and **Charles**, **7** years.

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