Well, the result is correct based on your join conditions
LEFT JOIN T1 ON A.ID_NUM = T1.ID_NUM -- same join condition twice?
LEFT JOIN T2 ON A.ID_NUM=T1.ID_NUM -- same join condition twice?
Without knowing the Primary/Foreign Keys it's hard to tell what you want/need.
Seems like a join of T1/T2 and the a join to A:
SELECT A.ID_NUM, dt.ORGN, dt.Money, dt.VAL
COALESCE(T1.ID_NUM, t2.ID_NUM) AS ID_NUM
,COALESCE(t1.ORGN, t2.ORGN) AS ORGN
FULL JOIN T2
) AS dt
ON A.ID_NUM = dt.ID_NUM