the ages of Jyoti and Raghu 11 years and 14 years in how many years time will be the product of their ages be 304
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14
Answer:
5
Step-by-step explanation:
Let the no. of years after their product of is 304 be x
Age of Jyoti after x years = 11 + x
Age of Raghu after x years = 14 + x
Now,
(11 + x)(14 + x) = 304
x² + 14x + 11x + 154 = 304
x² + 25x - 150 = 0
x² + 30x - 5x - 150 = 0
x(x+30) - 5(x+30) = 0
(x+30)(x-5) = 0
x = 5 , -30 (-30 will be rejected as ages cannot be negative)
So, ans is 5
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