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(1) You are given: (i) The sum of the present value of a payment of X at the end of 10 years and the present

(1) You are given: (i) The sum of the present value of a payment of X at the end of 10 years and the present value of a payment of Y at the end of 20 years is equal to the present value of a payment of X+Y at the end of 15 years. (ii) X+Y = 100, and (iii) The annual effective interest rate is 5%. Determine X.

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