the sum of a two digit number is 13 the number obtained by interchanging its digit exceeds the given number by 9
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answer is below
Step-by-step explanation:
Number =y×10+x
x+y=13⇒y=13−x
Interchange digits.
x×10+y= Number +9
x×10+13−x=(13−x)×10+x+9
10x+13−x−130+10x−x−9=0
18x=126
x=7
y=6
Number =60+7=67
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