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Question

Rohan's mother is 26 years older than him. The product of their ages 3 years from now will be 360. Formulate the quadratic equation to find their ages and find the mother's present age.

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Solution

Let Rohan present age be x years. Then, his mother's age is (x+26) years.

Rohan's age after 3 years =(x+3) years

After 3 years the age of Rohan's mother=(x+26+3)years=(x+29) years

It is given that after 3 years from now, the product of Rohan's and his mother's ages will be 360 years

(x+3)(x+29)=360x2+32x273=0....answer

This is the required equation.

(x+39)(x7)=0

x=39 and x=7

x=7.......( x can not be negative)

Mother's present age=7+26=33....answer

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