SOLUTION: The units of the digits of a two-digit number is 1 less than 3 times the tens digit. If the digits are reversed, the new number is 45 more than the original number. Find the number

Question 863933: The units of the digits of a two-digit number is 1 less than 3 times the tens digit. If the digits are reversed, the new number is 45 more than the original number. Find the number.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The units of the digits of a two-digit number is 1 less than 3 times the tens digit. If the digits are reversed, the new number is 45 more than the original number. Find the number.
let units be y
and tens be x
Number is written as xy
y=3x-1................(1)
10y+x = 10x+y+45
9y-9x=45
/9
y-x=5...................(2)
substitute y
3x-1-x=5
2x-1=5
2x=6
/2
x=3
y-x=5
plugx
y-3=5
y=5+3
y=8
The number is 38
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