Question

product of Pragati's age 2 years ago and 3 years hence is 84.find her present age

Answer 1

Let pragati's presentable be x

Her age 2 year ago = (x-2)
Her age 3 year hence = (x+3)

Their product is equal to 84

84=(x-2)(x+3)
84=x(x+3)-2(x+3)
84=x^2+3x-2x-6
84=x^2+x-6
x^2+x-6=84
x^2+x=90
x^2+x-90=0
x^2+10x-9x-90=0
x(x+10)-9(x+10)=0
(x+10)(x-9)=0
(x+10)=0 OR (x-9)=0
x=(-10) Or x=9

But the age cannot be negative ,
So pragati's present age is 9 years

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Answer 2

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