If Ritu were younger by 5 years than what she really is, then the square of her age would have been 11 more than five times her present age. What is her present age ? CT:​

  • matematika

    Subject:

    Math
  • Author:

    melton
  • Created:

    1 year ago

Answers 2

Answer:

let the present age of ritu be x

if ritu were five years younger, then: x-5

then her age would be-

(x-5)² = 11+5x

x²-10x+25 = 11+5x

x²-10x-5x+25-11=0

x²-15x+14=0

x²-14x-x+14=0

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

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

Step-by-step explanation:

so, the present age of ritu could not be 1 as 5 years ago her age would be negative. so her present age is 14.

I hope u understand the answer.

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Answer:

Step-by-step explanation:

present age=x

if she was 5 yrs younger her age would be x-5

According to question equation formed is

[tex](x-5)^{2}=11+5x[/tex]

[tex]x^{2} + 25-10x=11+5x\\ x^{2} +25-10x=11+5x\\x^{2} -15x+14=0\\x^{2} -14x-x+14=0\\x(x-14)-1(x-14)=0\\(x-1)(x-14)= 0\\x=14 or x=1[/tex]

x=1 isn't possible hence ritu's present age is 14

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