I\'ll take a stab...
t=0, g=1, o=2, b=3, a=4, d=5, n=6, r=7, l=8, e=9
526485 + 197485 = 723970
d=5: given
t=0: from the 1's place, 5+5=10
e=9: from the 10,000's place, we have o+e=o. Since e is not 0, this must be 1+o+e=o+10 (that is, we have a 1 carrying over from the 1,000's place). Cancelling, e=9.
a=4: from the 100's place, a+a=e. Since e=9, we have to have a carry over from the 10's place. So, either 1+a+a=19 or 1+a+a=9. As a can't be 9, we have 1+4+4=9 and a=4.
r=7: from the 100,000's place, 1+5+g=r (we have a carry over from o+e=o). So, r is 7 or 8 and g is 1 or 2. From the 10's place, we have 1+l+l=r+10 (we have a carry over from the 1's place and need a carry over for the 100's place). Thus, r is odd, so r=7.
g=1: from the 100,000's place, 1+5+g=7, so g=1.
l=8: from the 10's place, 1+l+l=7+10, so l=8.
n=6,b=3: from the 1,000's place, n+7=b+10. so, n=b+3. We only have 2,3, and 6 left, so n=6, b=3.
o=2: it's the only number left
PP
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