Question

Asha’s father is 54 years old. He is 3 years older than 3 times Asha’s age.
What is Asha's age?

Answer 1

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At present, Asha's age (in years) is 2 more than the square of her daughter Nisha's age. When Nisha grows to her mother's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the sum of their present ages.

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Correct option is

A

32

Let nisha's present age be x,

Asha's present age =x

2

+2

When Nisha turns her mother's age, x

2

+2−x years have passed. Asha's age =10x−1

⇒x

2

+2−x = 10x−1−[x

2

+2]

⇒2x

2

−11x+5=0

⇒(x−5)∗(2x+1)=0

⇒(x−5)=0 or (2x+1)=0

⇒x=5 or x=

2

−1

Since age can not be negative,

x=5 is the right answer.

Nisha's age is 5, Asha's age is 27

Sum of their present ages =5+27=32

Answer 2

Asha age is 18

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