Question

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

Answer 1

let the digits be x and y
number will be 10x+y
10x+y+3=4(x+y)
10x+y+3=4x+4y
2x-y=-1--(1)
10x+y+18=10y+x
9x-9y=-18
x-y=-2---(2)
use eliminate method to find
x=1
then y=2+x
y=2+1
y=3