product of Pragati age 2 years ago and 3 years hence is 84 find the present age.
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Step-by-step explanation:
Let Pragati's present age be x years.
Her age 2 years ago = x−2
Her age 3 years hence = x+3
Product of Pragati's age 2 years ago and 3 years hence is 84.
(x−2)(x+3)=84
⇒x
2
+x−6=84
⇒x
2
+x−90=0
x=
2a
−b±
b
2
−4ac
=
2
−1±
361
=
2
−1−19
or
2
−1+19
⇒x=−10 or 9
But age cannot be negative so, x = 9.
Thus, Pragati's present age is 9 years
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