The ages of Arohi and Sneha are in the ratio 5:7. Four years later, their will be the ratio 3:4. Find Arohi's age
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let present age of arohi be x
present age of sneha be y
from condition 1
x/y=5/7
x=5y/7......equation 1
from condition 2
x+4/y+4=3/4
4(x+4)=3(y+4)
4x+16=3y+12
16-12=3y-4x
4=3y-4x
from equation 1, substitute the x value
4=3y-4(5y/7)
4=3y- 20y/7
4=21y-20y/7
4=y/7
y=28.....equation 2
from equation 2,substitute the value of y in equation 1
x=5y/7
x=5×28/7
x=20
therefore, present age of arohi is 20yrs
present age of sneha is 28yrs
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