In a two digit number, the tens digit is two less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 154. Find the original number.

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1 answer

let the tens digit be x, and the unit digit be y
and your number is 10x + y
reversed number is 10y + x

10x + y + 10y + x = 154
11x + 11y = 154
x + y = 14
but x = y-2
y-2 + y = 14
2y = 16
y = 8 , then x = 6

now just the original number using the definitions