Mrs. Jain is 27 years older than her daughter Nilu. After 8 years she will be twice as old as Nilu. Find their present ages.
Given :
Mrs. Jain is 27 years older than her daughter Nilu.
After 8 years Mrs. Jain will be twice as old as Nilu.
To do :
We have to find their present ages.
Solution :
Let the present age of Nilu be x.
The present age of Mrs. Jain $= x+27$
The age of Nilu after 8 years $= x+8$
The age of Mrs. Jain after 8 years $= (x+27)+8$
Therefore,
$(x+27)+8 = 2(x+8)$
$x+35 = 2x+16$
$2x-x = 35-16$
$x = 19$
Age of Jain $=19 +27 = 46$
The present age of Nilu is 19 years and the present age of Mrs. Jain is 46 years.
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