Math, asked by jaizsatyam, 11 months ago

the sum of the reciprocals of rehman's age, 3 yearsago and 5yeats from now is 1/3 . find his present age ​

Answers

Answered by amrutbhoite4
5

Answer:

let present age of rahaman is x yrs

3 yrs ago age of rahman was x-3 yrs

5 yrs from now age of rahman will be x+5 yrs

as per given conditions

1/x-3 +1/x+5 =1/3

by LCM

x+5+x-3/(x+5)(x-3) =1/3

2x+2/x^2 +2x -15 =1/3

by cross multiplication we can find

6x+6 =x^2 +2x-15

x^2+2x -15 -6x -6 =0

x^2 -4x-21=0

(x-7)(x+3) =0

x-7=0 or x=3 =0

x=7 or x=-3

neglecting negative value of age

we can conclude

rahman present age is 7 yrs

Answered by Anonymous
2

Answer:

Please refer the attachment dear

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