Algebra Puzzle – Challenge 56

This is another great math puzzle and brain teaser for anyone interested in mathematics and critical thinking challenges.

Algebra Puzzle – Challenge 56

Challenge:

Mr. Anderson is 36 years old. His son is 6 years old. After how many years Mr. Anderson’s age will become exactly 2.5 times of his son’s age?

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The correct answer is 14.

Let x be the number of years that Mr. Anderson’s age will become 2.5 times of his son’s age. Therefore:
36 + x = 2.5 (6 + x) → 36 + x = 15 +2.5 x → 21 = 1.5x → x = 14
In 14 years, Mr. Anderson will be 50 years, (36 + 14 = 50) which is 2.5 times of his son who will be 20 years.

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