Multiple choice

The product of Sumeet's age five years ago and his age nine years later is 15. Determine Sumeet;s age 3 years from present.

  1. $6$
  2. $9$
  3. $3$

  4. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let age be x. (x-5)(x+9) = 15. x^2 + 4x - 45 = 15. x^2 + 4x - 60 = 0. (x+10)(x-6) = 0. Age is 6. 3 years from now, age is 6+3 = 9.

AI explanation

Let Sumeet's present age be S. The product of his age five years ago and his age nine years later is (S minus 5)(S + 9) = 15. Expanding and rearranging gives S^2 + 4S minus 60 = 0. Factoring this quadratic equation gives (S + 10)(S minus 6) = 0, so S = 6. Sumeet's age 3 years from present will be 6 + 3 = 9.

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