A number consists of two digits whose sum is 8. If 54 be
subtracted from the number. The digits are reversed. Find
the number.
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Answer:
unit's digit = x
ten's digit = 8 - x
10(8 - x) + x - 54 = 10x + 8 - x
80 - 10x + x - 54 = 9x + 8
26 - 9x = 9x + 8
26 - 8 = 9x + 9x
18 = 18x
x = 1
so the number is 71
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