hannahleej90 hannahleej90
  • 13-05-2016
  • Mathematics
contestada

when you reverse the digits in a certain two-diget number you increase it value by 27. What is the number if the sum of its digits is 5

Respuesta :

RaphaelM
RaphaelM RaphaelM
  • 13-05-2016
14 or 41

41 - 14 = 37

4+1 = 5
Answer Link
Аноним Аноним
  • 13-05-2016
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is =  x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27    ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y

9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4

x=5-y
x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14
Answer Link

Otras preguntas

Which of the following functions has a hole at (1,4)? ANSWER CHOICES IN THE IMAGE BELOW! PLEASE PROVIDE WORK WITH YOUR ANSWER:)!!! THANK YOU!
Given that z varies Directly with y and varies Indrectly with x, use the given values to find an equation that relates x, y, and z. X=6, y=12, and z= 10
explain how Brooks's use of end-rhyme and internal-rhyme contributes to the overall meaning of the poem​
What did the three-fifths compromise do?
Define incentive. Provide an example of a financial and a non financial incentive....
How many degrees below zero is each temperature? A.) -7°F B.) -4°F C.)-2°F
Do you think it’s right for parents to refer their own children
Describe two ways to check whether algebraic expressions are equivalent
Sunpots sit on the sun’s
10 points all wrong answers will be reported and explain Solve using linear combinations show your work.