The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.
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Answer:
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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,
1/(x – 3 ) + 1/(x + 5) = 1/3
→(x + 5 + x – 3)/(x – 3)(x + 5) = 1/3
→(2x + 2)/(x2 – 3x +5x – 15) = 1/3
→x2 + 2x – 15 = 6x + 6
→x2 – 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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Anonymous:
thanks ☺️
Answered by
35
Question
The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.
solution
Let Rehman's present age be X years.
Rehamna's age 3 years ago =( x-3) years
Rehman's age after 5 years= ( x+5) years
According to the question
therefore the present age of Rehman is 7 years ..
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