UNO High School Problem of the Week Competition

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Problem 19

A retiring employee receives an annual pension proportional to the square root of the number of years of his service. Had he served A years more, his pension would have been P dollars greater, whereas, had he served B years more (B ¹ A), his pension would have been Q dollars greater than the orignial annual pension. Find his annual pension in terms of A, B, P and Q.

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Solution