The sum of the digits of a two-digit number is 16. if the digits are reversed, the new number is 18 less than the original number. find the original number.
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
The sum of the digits of a two-digit number is 16. so let one number be (10-x)so the equation will be
y+x=16, (y=16-x)…(1)
if the digits are reversed, the new number is 18 less than the original number then the equation will be
10x+y=10y+y-18
9y-9x=18
y-x=2 by equation (1)
16-x-x=2
2x=14
x=7 so y=16-7=9
Answer.