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THe ANSWER to the Problem...

In the addition problem shown, each letter represents a different digit. If GOD= 605, what number does MOVED represent?

ADAM

+ AND

EVE

_______

MOVED

SO...

G= 6, O= 0, D= 5.

A 5 A M

A N 5

E V E

_______

M 0 V E 5

M = 1, because these three numbers

cannot add to more than 1 tens of thousand.

A = 8 or 9 because 8 + 2 carried over from thehundreds or 9 + 1 carried over from the hundreds must endin 0, and A cannot be 0.

8 5 8 1

8 N 5

9 V 9

_______

1 0 V 9 5

8 + N + V + 1 carried over ends in 9.

N + V must end in 0, and the only pair which can be used

is (3,7), because G = 6 so 6 and 4 are not possible.

In this case only 1 can be carried over to the hundreds,

because the result of the addition is 19.

Hundreds: 5 + 8 + 9 + 1 carried over ends in V.

So V = 3 and 2 is carried over to the thousands.

8 5 8 1

8 7 5

9 3 9

_______

1 0 3 9 5

So the answer...

FINALLY>>>

MOVED represent 10, 395

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© Math's Mate Green ~ Problem Solving Hints & Solutions

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