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Q.

Represent the following example in form of quadratic equation:

Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

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a

x2+32x-273=0

b

x2-32x-273=0

c

x2+32x+273=0

d

-x2+32x+273=0

answer is A.

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Detailed Solution

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Let Rohan's present age be 'x' years.

Age of Rohan's mother = (x + 26) years

After 3 years,

Rohan's age = (x+3) years

Age of Rohan's mother = (x + 3 + 26) years = (x + 29) yrs

As per given condition,

(x+3) × (x + 29) = 360

x2+29x+3x+87=360 

x2+32x+87-360=0 

x2+32x-273=0

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