The sum of the digits of a two digit number is 6. If the digits are reversed, the new
number will be 36 greater than the original number. Find the number.
Answers
Answer:
15 or 51
Step-by-step explanation:
Here 15 or 51 both answer can be correct because it has asked to find the number it didn't have told that we have to write original number or reverse number if it would have asked that tell the original number then it would be 15 or if it would ask that tell the reversed number so it will be 51. And here is your solution of this question.
Answer :
[ Given ]
The sum of two digit = 10
Then suppose first digit = x
And second digit = y
Then the equation found x + y = 10
Now interchanging the number is decreased by 36
(10x + y) = (10y - x) -36
Then 10x - x + y - 10y = -36
9x - 9y = -36
Then all are divided by 9
So second equation found => x - y = -4
Add first and second equation
x + y = 10
+ x - y = 4
=> 2x = 6
then x = 3
Now First equation = 3 + y = 10
y = 10-3 = 7
y =7
Then original number = (10x + y)
10 x 3 + 7
=> 37 Answer √√