at his age vs. his age

Dear respected teachers,

Could you explain what difference is between the following two sentences by adding and removing the preposition ‘AT’

1- I hope I am as contented as him when I am his age.

2- I hope I am as contented as him when I am AT his age.

My understanding is ‘I am his age’ means my age is exactly equal to his while ‘I am at his age’ means my age is approximate his age. Is this understanding correct, please?

Thanks,

KK

Hi,

‘When I am his age’ is preferable. You don’t need ‘at’ in this sentence. ‘At’ would be used when you are referring to something more specific as in:

At his age I would have been working in my first job.

Alan

Ooh yes! I think I’ve got the idea. Thanks Alan so much for lots of your extremely great help!