Question

when Merlin was 9 years younger than she is now, the difference between the square of her age at that time and 5 times her present age would be 21.
what is her age at present?​

Answer 1

Answer:

Step-by-step explanation:

As per question given the following equation can be formed:

⇒(x−5)

2

=11+5x

⇒x

2

−10x+25=11+5x

⇒x

2

−10x+25−11−5x=0

⇒x

2

−15x+14=0

⇒x

2

−14x−x+14=0

⇒x(x−14)−1(x−14)=0

⇒(x−14)(x−1)=0

x=14 or  x=1

Since her age can't be 1, So it is 14