Question

.If Roopa was younger by 5 years than what she really is, then square of her age (in

years) would have been 11 more than five times her actual age. What is her age

now?
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Answer 1

Answer:

Roopa's present age is equal to 14 years.

Step-by-step explanation:

Let Roopa's present age be equal to x.

Her age five years before from today = x - 5

Given the square of her age five years earlier is 11 more than 5 times her actual age.

(x - 5)² = 5x + 11

Solving the equation to find the value of x .

=> x² + 25 - 10x = 5x + 11

=> x² -15x +14 = 0

=> x² -14x - x + 14 = 0

=> x(x-14) -1(x-14) = 0

=> x = 14 , 1

So the present age of Roopa is 14 years.

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Answer 2

Answer:

the present age of Roopa is 14 years

Step-by-step explanation:

let the present age of Roopa = x

5 years ago Roopa's age = x-5

according to the question ,

(x-5)² = 5x +11

x² + 25 -10x = 5x+ 11

x² -15x + 14 =0

x² -14x -x +14 = 0

x(x- 14) -1 (x-14) = 0

(x-14)(x-1) = 0

either ; x= 1

or x= 14

bt x= 1 is not possible

thus x= 14

so; the present age of Roopa is 14 years

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