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प्रश्न
The product of Ramu's age (in years) five years ago and his age (in years) nice years later is 15. Determine Ramu's present age.
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उत्तर
Let the present age of Ramu be x years
Then, 9 years later, age of her = (x + 9) years
Five years ago, her age = (x - 5) years
Then according to question,
(x - 5)(x + 9) = 15
x2 + 9x - 5x - 45 = 15
x2 + 4x - 45 - 15 = 0
x2 + 4x - 60 = 0
x2 - 6x + 10x - 60 = 0
x(x - 6) + 10(x - 6) = 0
(x - 6)(x + 10) = 0
So, either
x - 6 = 0
x = 6
Or
x + 10 = 0
x = -10
But the age never be negative
Hence, the present age of Ramu be 6 years.
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