I am sure I have heard so too but i do not know of any scientific evidence to support it.
I suppose getting old in this scenario means wrinkling of the skin?
Your skin cells get replaced every 2-3 weeks. As you get older, the rate at which these replacement takes place might decrease which might result in older looking skin in old people. Wrinkling on the other hand I think is a factor of the muscles under your skin getting wasted. I suspect that this too might have a link with how fast cells are replaced in old age.
Hot water might cause scalding…aging? I do not know
Steven commented on :
Regular use of hot water to shower leaves the skin dry, and robs the skin of its natural lubricants cause that accelerates wrinkling. Hot water leaves the skin pores open and vulnerable to accumulation of dust or dirt leading to acne. It is advisable to shower/bath with lukewarm water or even cold like I do (my skin looks years younger than I am, my Mum too who uses cold water often)…this way your skin is able to retain the essential oils that are secreted naturally rather then use expensive oils and lotions to make your skin appear youthful. Cold water in addition leaves the pores closed and hence less vulnerable to accumulation of dirt and bacteria. In the event that you are used to hot showers, it is advisable to rinse off for a minute or two with cold water.