The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get 99. Find the original number
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If the digits differ by 5, then:
one digit= x+5
other digit=x
If the digits are interchanged, the number obtained would be x x+5
According to question:
10(x+5) +x + 10x +(x=5)=99
10x +50 +10x +x +5=99
22x+55=99
22x=99-55
22x=44
x=44/22
x=2
So, the numbers are- 72 and 27.
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