let Amisha's age 3 years ago =8x years..
let Nimisha's age 3 years ago=9x years..
present age of Amisha = 8x+3 years..
present age of Nimisha = 9x+3 years..
Amisha's present age=
=8x+3
=8(2) +3
=16+3
=19 years..
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Verified answer
let Amisha's age 3 years ago =8x years..
let Nimisha's age 3 years ago=9x years..
present age of Amisha = 8x+3 years..
present age of Nimisha = 9x+3 years..
[tex] \tt = \frac{(8x + 3) + 3}{(9x + 3) + 3} = \frac{11}{12} \\ \tt = \frac{8x + 6}{9x + 6} = \frac{11}{12} \\ \tt = 12(8x + 6) = 11(9x + 6) \\ \tt = 96x + 72 = 99x + 66 \\ \tt = 96x - 99x = 66 - 72 \\ \tt = \cancel - 3x = \cancel- 6 \\ \tt = x = \frac{ \cancel6}{ \cancel3} = 2..[/tex]
Amisha's present age=
=8x+3
=8(2) +3
=16+3
=19 years..