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The sum of reciprocals of age of Rama 4 years ago and 5 years from now is 7/30 find his present age.Answer only tennetiraj86

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  • ➡️Let the PRESENT age of REHMAN =x 
  • 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=31
  • (x–3)(x+5)(x+5+x–3)=31  
  • (x2–3x+5x–15)(2x+2)=31  
  • 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.

\large{\green{\underbrace{●HENCE SOLVED●}}}

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