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irakobra [83]
4 years ago
14

A number of two digits is such that twice the ten digit it is 6 greater than the unit digit. When the digits are reversed the nu

mber is increased by 9. Find the number
Mathematics
1 answer:
Studentka2010 [4]4 years ago
4 0
10x+y - a two digit number
x - ten digit
y - unit digit

2x=y+6\\
10y+x=10x+y+9\\\\
y-2x=-6\\
9y-9x=9\\\\
y-2x=-6\\
y-x=1\\\\
y-2x=-6\\
-y+x=-1\\
------\\
-x=-7\\
x=7\\\\
y-7=1\\
y=8\\\\
10\cdot7+8=\boxed{78}


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