Natasha is x years old and her mother is x square years old. When her mother becomes 11x years old,Natasha becomes x square years old. Find their ages.

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Solution

Let the age of natasha be x then the age of her mother will be x².
After certain year ,age of Natasha is x²and age of mother is 11x .
Now here we can observe that the age difference is same .
x²- x = 11x - x²
⇒ 2 x²= 12x
⇒ x = 6
⇒ so natasha present age is 6 years, and her mother age is 36 years.

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