I wanted to know if there is any way of reading from two input files in a nested while loop one line at a time. For example, lets say I have two files FileA and FileB.

FileA:

[jaypal:~/Temp] cat filea
this is File A line1
this is File A line2
this is File A line3

FileB:

[jaypal:~/Temp] cat fileb
this is File B line1
this is File B line2
this is File B line3

Current Sample Script:

[jaypal:~/Temp] cat read.sh 
#!/bin/bash
while read lineA
    do echo $lineA 
    while read lineB
        do echo $lineB 
        done < fileb
done < filea

Execution:

[jaypal:~/Temp] ./read.sh 
this is File A line1
this is File B line1
this is File B line2
this is File B line3
this is File A line2
this is File B line1
this is File B line2
this is File B line3
this is File A line3
this is File B line1
this is File B line2
this is File B line3

###Problem and desired output:

This loops over FileB completely for each line in FileA. I tried using continue, break, exit but none of them are meant for achieving the output I am looking for. I would like the script to read just one line from File A and then one line from FileB and exit the loop and continue with second line of File A and second line of File B. Something similar to the following script -

[jaypal:~/Temp] cat read1.sh 
#!/bin/bash
count=1
while read lineA
    do echo $lineA 
        lineB=`sed -n "$count"p fileb`
        echo $lineB
        count=`expr $count + 1`
done < filea

[jaypal:~/Temp] ./read1.sh 
this is File A line1
this is File B line1
this is File A line2
this is File B line2
this is File A line3
this is File B line3

Is this possible to achieve with while loop?