You’ve been doing well lately, strictly following your healthy eating plan, exercising even better and yet, the number on the scales are not going down. This is common so do not get discouraged and DO NOT STOP! I assure you, this happens to many.
Both have the exact same weight, but a very different body composition.
So less focus on the weight scale. Look at your clothes: do they fit better? Looser? How about your jewellery? How do you feel? You can even get someone to take your measurements. Your weight may not be changing but you are well progressing to a healthier you. Just look at the big picture ;)