The next number in the sequence is :19, 29, 37, 43 ……..

The correct option is 47.

To find the next number in the given sequence, let us analyze the differences between consecutive terms:

$29-19=10$

$37-29=8$

$43-37=6$

We can observe that the differences added to each consecutive term decrease by 2 each time (10, 8, 6, ...).

Following this pattern, the next difference to add is:

$6-2=4$

Adding 4 to the last term, 43, gives the next number in the sequence:

$43+4=47$

Thus, the next number in the sequence is 47.