# Teaching Year Riddle

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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?

SherlockHolmes Expert Asked on 18th March 2018 in

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.

Viji_Pinarayi Expert Answered on 18th March 2018.

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