If zeba were younger by 5 then what is she really is then the square of the age would have been 11 more than five times are actually what is a now
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55 age of five times of 11
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Question:-
If zeba were younger by 5 then what is she really is then the square of the age would have been 11 more than five times are actually what is age now?
Solution:-
•Let the actual age of zeba =x years .
•Her age when she was 5 years younger =(x-5) years.
Now, by given condition
•Square of her age =11 more than five times her actual age
➟ (x-5)²=5x+11
➟ x²+25-10x=5x+11
➟ x²-10x-5x+25-11=0
➟ x²-15+14=0
Factorising the above equation by splitting middle term
➟ x²-14x-x+14=0
➟ x(x-14)-1(x-14)=0
➟ (x-1) (x-14) =0
➟ x-1=0 or x-14=0
∴ x=1 or x=14
➾Note:-Here, x will not be equal to 1 because her age is x-5.So,x-5=1=1-5=-4 I.e, age cannot be negative
Hence,required Zeba's age now is 14 yrs
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