Product of Ashwinis age 5 years ago and 10 years hence is 150. Find her present
age.
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this is the answer
- Ashwani age is x
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Ashwini's present age is 20 years.
Step-by-step explanation:
Let Ashwini's present age is x years.
Before 5 years her age = (x - 5) years
Before 10 years her age = (x - 10) years
"Product of her age before 5 years and 10 years is 150".
(x - 5)(x - 10) = 150
x² - 5x - 10x + 50 = 150
x² - 15x + 50 - 150 = 0
x² - 15x - 100 = 0
x² - 20x + 5x - 100 = 0
x(x - 20) + 5(x - 20) = 0
(x + 5)(x - 20) = 0
x = -5 and 20
But age can not be negative.
Therefore, her present age is 20 years.
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