The sum of the reciprocal of Rehmans age 3years ago &5years from now is1/3.Find his present age
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Answer:
Step-by-step explanation:
Let lresent age of rehman be x years
Age of rehman 3years ago = x-3
Age of rehman 5 years hence= x+5
According to given condition
1/x-3 + 1/x+5 = 1/3
(x-3)+(x+5)÷(x-3)(x+5)=1/3
2x+2/ x^2+2x-15=1/3
3(2x+2)=x^2+2x-15
6x+6=x^2+2x-15
0=x^2+2x-6x-15-6
0=x^2-4x-21
i.e.x^2-4x-21=0
x^2-7x+3x-21=0
x(x-7)+3(x-7)=0
(x-7)(x+3)=0
X=7or x=-3
But age cannot be negative
Therefore , x=7
Rehmans present age is 7 years
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