16. The ages of Veena and Meenu are in the ratio 2:3.Four years from now the ratio of their ages will be 4:5.Find their present ages.
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Answer :
Veena = 4 years
Meenu = 6 years
According to the given information :
Let the age of both be ' x '
Ratio = 2 : 3 :
- Let the age of Veena be ' 2x '
- Age of Meenu be ' 3x '
4 years later :
- Age of Veena = 2x + 4
- Age of Meenu = 3x + 4
According to the question :
⋆ 2x + 4 / 3x + 4 = 4 : 5
=> 2x + 4 / 3x + 4 = 4 / 5
[ cross multiply ✖ ]
=> 5 ( 2x + 4 ) = 4 ( 3x + 4 )
=> 10x + 20 = 12x + 16
=> 12x - 10x = 20 - 16
=> 2x = 4
=> x = 4 / 2
=> x = 2
To find :
- Veena = 2x = 2 × 2 = 4
- Meenu = 3x = 3 × 2 = 6
♥ So, It's Done ♥ !!
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