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Old Enough ?

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Darren:
"When I add 2 times my age 2 years from now to 3 times my age 3 years from now, I get 6 times my current age. How old will I be 3 years from now?"
Answer: 16

Solution:

"Let x be my present age. My age 2 years from now will be x + 2, and 2 times that will be 2 (x + 2). Similarly, my age 3 years from now will be x + 3, and 3 times that will be 3 (x + 3).

Adding the two gives 6 times my current age. This gives the equation:

2 (x + 2) + 3 (x + 3) = 6 x.

Solving the above equation gives

x = (2 × 2) + (3 × 3) = 13.

Thus, I will be 16 years old 3 years from now."

Food for thought:

How do you verify the answer?
It's easy! By substitution, right?

  Try the Quiz :     Puzzles & Brain Teasers : Old Enough ?


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