the product of kumaran age is two years ago and his age four years from now is one more than twice his present age.what his present age
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kumarans present age is 3 yrs
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The present age of Kumaran is 3 years.
• Let the present age of Kumaran be x years.
• Kumaran's age two years ago was (x - 2).
• Kumaran's age four years from now would be (x + 4).
• Twice the present age of Kumaran = 2x
• According to the question,
(x - 2) (x + 4) = 2x + 1
=> (x × x) + (x × 4) - (2 × x) - (2 × 4) = 2x + 1
=> x² + 4x - 2x - 8 = 2x + 1
=> x² + 2x - 8 = 2x + 1
=> x² + 2x - 8 - 2x - 1 = 0
=> x² + 2x - 2x - 8 - 1 = 0
=> x² + 0 - 9 = 0
=> x² - 9 = 0
=> x² = 9
=> x² = √9
=> x = + 3, - 3
• Since age cannot be a negative number, - 3 is discarded.
Therefore, the present age of Kumaran is 3 years.
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