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Question

Sunita is 24 years older than her daughter Kavita. 6 years ago Sunita was thrice as old as Kavita Find their' present ages.

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Solution

S=sunitha's age
k=kavitha's age
s is 24 older than k
s=24+k
6 years ago (s-6 and k-6), sunitha was thrise as old as kavita
s-6=3(k-6)
subsitute 24+k for s
24+k-6=3(k-6)
k+18=3(k-6)
distribute
k+18=3k-18
minus k both sides
18=2k-18
add 18 both sides
36=2k
divide by 2 both sides
18=k
sub back
s=24+k
s=24+18
s=42
sunitha is 42 years old
kavita is 18 years old


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