Question

if dhwani were younger by 5 years then what she really is then the square of age (in years) would have been 11 more than five times her actual age. what is her age now?​

Answer 1

Her age would be 14 years now.

Step-by-step explanation:

Consider x be the age ( in years ) of Dhwani,

Her age before 5 years = (x - 5) years,

Square of her age before 5 years = (x-5)² years,

five times of her age = 5x,

11 more than five times of her age = 5x + 11,

According to the question,

$(x-5)^2 = 5x + 11$

$x^2 - 10x + 25 = 5x + 11$

$x^2 - 10x + 25 - 5x - 11=0$

$x^2 - 15x + 14=0$

$x^2 - 14x - x + 14=0$ ( by middle term splitting ),

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

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

$\implies x = 1\text{ or }x=14$ ( by zero product property ),

Since if Dhwani were 1 year old then we could not assume the time before 5 years,

Hence, her age now must be 14 years.

#Learn more:

Sheela age is 4 years less than half of her mother's age sheela's age is 2 years less than thrice the age of her younger brother. if sheela is 13 years old,then find the age of her brother and that of her mother

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