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Determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. |
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Answer» let the age of 1 be`x` le the age of 2 be `y` acc to question `x+y= 20` & `(x-4)(y-4) = 48` `xy-4x-4y+16=48` `xy-4(x+y) = 32` `xy-4(20) = 32` `xy-80=32` `xy=112` `x+ 112/x = 20` `x^2- 20x +112=0` D`=b^2-4ac` `=(-20)^2 - 4(112)` `=-48` age can not be imaginary and negative so solution is not possible. |
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