exam Maths Puzzle Numerical Ability

A. Joe won a lottery jackpot that will pay him $12,000 each year for the next ten years. If the market interest rates are currently 12%, how much does the lottery have to invest to

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TWICE ONE NUMBER PLUS A SECOND NUMBER IS 42, AND THE NUMBER MINUS THE SECOND NUMBER IS 6. FIND THE NUMBERS. Write as a sum of difference of logarithms of a and b. Assume that all variables represent positive real numbers.

log12 a^3b^12