a number consists of two digits whose sum is 8 if 18 is added to the number its digits are interchanged find the Number.
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Suppose two digits number =10x+y
Then, x+y=8
and. (10x+y)+18=10y+x
= 10x+y-10y-x=-18
= 9x-9y=-18
= x-y =-2
On adding Eqs (¡) and (¡¡)
2x=6
= x=3
On putting value x in Eq.(¡)
3+y=8
y=5
Hence, two digits number =10x+y=10 X 3+5=35
Hope it helps
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