product of Pragathi Age 2 year ago and 3 years hence is 84 find her present age
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Hope my answer helps.
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ashpk:
thanks ready for next Q.
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let pragathi's present age be x
so
pragathi age before 2 years =x-2
pragarhi age 3 year hence x+2
ATQ
(x-2)(x+3)=84
x2+3x-2x-6=84
x2+x-6-84=0
x2+x-90=0
x2+10x-9x-90=0
x(x+10)-9(x+10)=0
(x-9) (x+10)=0
x=9
x=10:invalid
so pragathi present age = 9 year
so
pragathi age before 2 years =x-2
pragarhi age 3 year hence x+2
ATQ
(x-2)(x+3)=84
x2+3x-2x-6=84
x2+x-6-84=0
x2+x-90=0
x2+10x-9x-90=0
x(x+10)-9(x+10)=0
(x-9) (x+10)=0
x=9
x=10:invalid
so pragathi present age = 9 year
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