Good morning, this is my first response on this platform.
After analyzing the response of Albert Hidalgo, it made a lot of fun
So I started to investigate and I think this does the same but it's simpler:
var suma=0;
var json = [
{"Nombre":"Sutano","Edad":19},
{"Nombre":"Fulano","Edad":20},
{"Nombre":"Mengano","Edad":21}
];
/*como la variable json ya esta en un formato valido, con el que tienes un arreglo
como json, no es necesario convertirlo, con lo cual solo lo recorres y accedes al
elemento que te interesa
*/
json.forEach(function(elemento, indice) {
suma += elemento["Edad"];
});
console.log('las edades suman: ' + suma);
note: the solution is correct, I comment any comments with my comment, greetings