# 3087 - a special number. how?

Algebra Level 2

$$a, b , c , d \in \mathbb{N}$$ , such that ,

$$\overline{abcd} - \overline{dcba} = 3087$$

Let $$a > b > c > d$$

If $$a = 8$$ , find $$a + b + c + d$$.

Details and Assumptions -

• If $$\overline{abcd}$$ is $$5964$$ , then $$a = 5 , b = 9 , c = 6 , d = 4 .$$

and dcba is 4695 .

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