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A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, the digits are reversed. Find the number.



The number is 35
let the digit at one's place be y and that in 10's place be x
so the number is 10x+y
given 10x+y=3+4(x+y) ----- 1
and also given 10x+y+18=10y+x ------2
substituting 1 in 2 
gives 3+4(x+y)+18=10y+x
solving the above equation for x, you should get x=2y-7  ------3
now substitute 3 in 1
solving the above equation for y, you will get 9y=45 which gives y=5 ------4
substitute 4 in 3 and you get x=3
now the number is 10x+y= 10(3) + 5=35
there you go ^_^ 
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