# 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.

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by dweejareddy

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by dweejareddy

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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

10(2y-7)+y=3+4(2y-7+y)

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 ^_^