Well the short answer is that he didnt. He did weigh & measure an awful lot of people in 1830s Belgium, & he did observe that, after puberty, weight tends to increase in proportion to the square of the height, but no mention of an ideal weight or of the magic numbers 20 or 25 or 30. To the extent that he had one specific purpose it was to establish a formula for ascertaining someones age. Especially if that person were dead (see postscript).
In his 'Treatise on Man' which reports these findings, Quetelet also publishes some figures for the weights of children in Stockport & Manchester & observes that they were generally lighter than their Belgian counterparts, though it should be borne in mind that the English children came exclusively from the lower orders.
William Ewart Gladstone & his brother John embarked on a Grand Tour of Europe in 1832, to celebrate the formers recent graduation from Oxford. I have just been reading the Philip Magnus biography of Gladstone & was intrigued to see the following description of a military parade at Brussels cathedral, taken from Gladstones diary for 5 Febbruary 1832.
The men were small, for both John & I could see over their heads with ease
I dont know how tall Gladstone was, though I do know that one of his brothers was famously tall - over 6ft 5 - and one of the sights of Liverpool
And so .... ? Well, what, really. But one of the joys of being a hedgehog is the tiny little coincidences, connections & links you come across. Why should an Englishman & a Belgian be making comparisons like this? Why should Philip Magnus choose this as his sole quote from Gladstones visit to Brussels?
Postscript: "A witness cannot give evidence of his age unless he can remember being born." - Judge William Collis Blagdon
Link