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Let handkerchiefs be x
∴ no of socks are 30 -x........................eq[1]
acc to ques:
x+5 =5(30 -x -5)
x+5 =5(25 -x )
x +5 = 125 - 5x
6x = 120
x = 20
putting value of x in eq 1 
∴ no of socks are 10
and no of handkerchiefs are 20