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Arthur: "When I add 5 times my age 5 years from now to 6 times my age 6 years from now, I get 12 times my current age. How old will I be 2 years from now?"
Answer:Answer:63
Solution:
"Let x be my present age. My age 5 years from now will be x + 5, and 5 times that will be 5 (x + 5). Similarly, my age 6 years from now will be x + 6, and 6 times that will be 6 (x + 6).
Adding the two gives 12 times my current age. This gives the equation:
5 (x + 5) + 6 (x + 6) = 12 x.
Solving the above equation gives
x = (5 × 5) + (6 × 6) = 61.
Thus, I will be 63 years old 2 years from now."
Food for thought:
How do you verify the answer?
It's easy! By substitution, right?
