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72 1) a+b=9 2) ab-ba=45==> 10a+b-(10b-a)=45==>9a-9b=45==>a-b=5 per (1) and (2) a+b+a-b=9+5 ==> 2a=14==>a=7 per (2) a-b=5==> b=2 ab=72; ba=27

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Q: If a number consists of two digits which add up to nine and when the digits are reversed the original number is decreased by forty five then what was the original number?
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