1.

In a two digit number the sum of two digit is 8.If 18 is added to the number its digit are reversed .Find the number.

Answer»
ok, so our number is xy, which means 10x+y. 

ANYWAY, the FIRST sentence say the sum of the 2 digits is 8, so x+y = 8 

if we add 18 to the number, ie 10x+y+18 the result is then yx (ie 10y+x)
--> 10x+y+18 = 10y+x
--> 9x + y + 18 = 10y


--> 9x - 9Y + 18 = 0
--> 9x - 9y = -18
--> x - y = -2 

So we have 2 equations:
x+y=8
x-y=-2 

solve these to give x=3 and y=5 ie we had 35 and


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