Determining number code puzzle

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An AE student named Seoung devises a coded system of arithmetic for keeping his financial information private. His coded system of arithmetic is identical to the usual one except that each digit 0 to 9 has a value different than from standard arithmetic.
The following five equations hold in Seoung's arithmetic:

(a) 8×7 = 8

(b) 4×9 = 39

(c) 7-33 = -1

(d) 51÷2 = 2

(e) 7^4 = 6.

What is the sum 40 + 04 in Seoung's arithmetic expressed in his new digits?

Reference no: EM13132178

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