The sum of the reciprocals of rehman’s ages 4years ago and 5years from now is 1/3.Find his present
age
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Let the present age of Rehman =x
3 years ago Rehman’s age =(x–3) years
5 years later Rehman’s age =(x+5) years.
Now, according to the condition,
(x–3)
1
+
(x+5)
1
=
3
1
(x–3)(x+5)
(x+5+x–3)
=
3
1
(x
2
–3x+5x–15)
(2x+2)
=
3
1
x
2
+2x–15=6x+6
x
2
–4x–21=0
(x+3)(x–7)=0
Either,x+3=0 Or, x–7=0
Thus, x=7 or –3; but age cannot be negative.
Hence the present age of Rehman is 7 years.
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