If radha were younger by 5 years then what she really is,then square of age would have 11 more than 5 times her actual age.What is her age now.
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Let her present age be x.
According to the first statement, if Radha had been younger by five years, her age would have been (x-5) yrs.
So,
(x-5)²= 5x -11
x²+ 25 -10x = 5x-11 [ using identity (a-b)²= a²+b²-2ab ]
x²-15x + 36= 0
x² -3x -12x +36= 0 [ solving the quadratic equation using middle term splitting method ]
x(x-3)-12(x-3)= 0
(x-3)(x-12)=0
Therefore, on solving the equation we get two answers ie 3 and 12, but her age can not be 3 years because if it were so, then she could not have talked about her age 5 years before.
Hence, her present age is 12 years.
According to the first statement, if Radha had been younger by five years, her age would have been (x-5) yrs.
So,
(x-5)²= 5x -11
x²+ 25 -10x = 5x-11 [ using identity (a-b)²= a²+b²-2ab ]
x²-15x + 36= 0
x² -3x -12x +36= 0 [ solving the quadratic equation using middle term splitting method ]
x(x-3)-12(x-3)= 0
(x-3)(x-12)=0
Therefore, on solving the equation we get two answers ie 3 and 12, but her age can not be 3 years because if it were so, then she could not have talked about her age 5 years before.
Hence, her present age is 12 years.
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