The sum of the digits of a two digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. Find the number graphically
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Step-by-step explanation:
let the number be 10x+y
with digits x,y
therefore x+y=15........(i)
again,
10y+x-10x-y=9
or, 9y-9x=9
or, x-y=-1..........(ii)
solving equation (i) and (ii) we get
2x=14
x=7
and
y=8
therefore the number is 10x+y=10x7+8=78
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