The ages of two students A andB are 19years and 15years respectively find how many years it will take so that product of there ages becomes equal to 480
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5 years
Step-by-step explanation:
Let the number of years to come be x
We get a quadratic equation for this problem, so (19 + x) (15 + x) = 480
Now, 285 + 19x + 15x + x² = 480
Then, x² + 34x + 285 = 480.
So p(x) = x² + 34x - 195 = 0
By factorisation, x² + 39x - 5x - 195 = 0
By taking x and 5 common, x (x + 39) - 5 (x + 39)
So, x - 5 = 0, x = 5 [Ignoring +ve value]
So more five years and their product would be 480..
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