the ages of Sona and Sonali are in the ratio 5:3. Five years hence, the ratio of their ages will be 10:7 find their present ages
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let the present age of sona be 5x & Sonali be 3y .
after 5 years
sona age be = 5x+5
Sonali age be = 3x+5
5x+5/3x+5 = 10/7
7(5x+5) = 10(3x+5)
35x+35=30x+50
35x-30x= 50-35
5x=15
x= 15/5
x= 3
present age of sona = 5x=5×3=15 years
present age of Sonali=3x= 3×3=9years
after 5 years
sona age be = 5x+5
Sonali age be = 3x+5
5x+5/3x+5 = 10/7
7(5x+5) = 10(3x+5)
35x+35=30x+50
35x-30x= 50-35
5x=15
x= 15/5
x= 3
present age of sona = 5x=5×3=15 years
present age of Sonali=3x= 3×3=9years
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