Question

What is the value of x in 1+1/1+{1/1+1/x} =11/7?​

Answer 1

Answer:

1+

1+

1+

x

1

1

1

=

7

11

⇒1+

1+

x

x+1

1

1

=

7

11

⇒1+

1+

x+1

x

1

=

7

11

⎩

⎪

⎪

⎨

⎪

⎪

⎧

∵

x

1

1

=

1

x

⎭

⎪

⎪

⎬

⎪

⎪

⎫

⇒1+

x+1

x+1+x

1

=

7

11

⇒1+

x+1

2x+1

1

=

7

11

⇒1+

2x+1

x+1

=

7

11

⇒

2x+1

2x+1+x+1

=

7

11

⇒

2x+1

3x+2

=

7

11

⇒7(3x+2)=11(2x+1)

⇒21x+14=22x+11

⇒22x−21x=14−11

⇒x=3

Hence, x=3