Du kan använda ett antal LIKE-uttryck:
SELECT fields
FROM table
WHERE age = "50"
AND (
name LIKE "2010-09-17%"
OR name LIKE "2010-09-16%"
);
eller så kan du använda ett regex:
SELECT fields
FROM table
WHERE age = "50"
AND name REGEXP "2010-09-17.*|2010-09-16.*";
eller smart
SELECT fields
FROM table
WHERE age = "50"
AND name REGEXP "2010-09-1(6|7).*";