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Question

Question 2(iii)
Represent the following situations in the form of quadratic equations.
(iii) 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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Solution

(iii) Let's take Rohan's age = x years
Hence, his mother's age = x+26
3 years from now;
Rohan's age = x+3
Age of Rohan's mother will =x+26+3=x+29
The product of their ages 3 years from now will be 360.
(x+3)(x+29)=360
x2+29x+3x+87=360x2+32x+87360=0
x2+32x273=0
x2+39x7x273=0
x(x+39)7(x+39)=0
(x+39)(x7)=0
Either x+39=0orx7=0
x=39 or x=7
As age cannot be in negative value,
x=7,Rohan's age = 7 years
Mother's age = 7+26=33 years


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