dylandouglas5396 dylandouglas5396
  • 03-11-2017
  • Mathematics
contestada

"the sum of the digits of a two-digit number is 13. reversing the digits produces a number that is 9 less than the original number. what is the original number?"

Respuesta :

tynollette tynollette
  • 03-11-2017
suppose the one's digit is x, the ten's digit is y. the original number is 10y+x, the reversed number is 10x+y

x+y=13
(10x+y)=(10y+x)-9 =>9y-9x=9 =>y-x=1
Add the two equation to solve: 2y=14 =>y=7
x=13-7=6
the original number is 76. 


Answer Link

Otras preguntas

What do.these headlines demonstrate PLEASE HELPP
66 erasers cost \$6.60$6.60dollar sign, 6, point, 60. Which equation would help determine the cost of 333 erasers?
Square sandbox with sides 3 feet long. She wants to put sand 0.85 feet deep in the box. What is the exact measure, in cubic feet of sand, tat Maija needs?
Resuelve la ecuación 4^2x-5=64
A catering service offers 12 appetizers, 6 main courses, and 7 desserts. A banquet chairperson is to select 6 appetizers, 2 main courses, and 5 desserts for a b
All beliefs about body shape are unaffected by social influences. Select one: a. True b. False
An interjection is always A. intended to show feeling. B. followed by an exclamation point. C. preceded by preposition. D. related to another word
Which type of cells in a plant normally have the most chloroplasts?
200 gallon tank fills at 3 gallons/minute and loses 2 gallons/minute how long does it take to fill up
If the length of a rectangle parking lot is 10 meters less than twice it's width, and the perimeter is 400 meters, find the length of the parking lot