sum of the digits of a two-digit number is 9.When we interchange the digits, it is found that the resulting new number is greater than the original number by 27.what is the 2-digit number.
(pls solve this so I could understand)
Answers
Answered by
0
Answer:
36
Step-by-step explanation:
Let the digits at tens place and ones place: x and 9−x respectively.
∴ original number =10x+(9−x)
=9x+9
Now Interchange the digits: Digit at ones place and tens place: x and 9−x respectively.
∴ New number: 10(9−x)+x
=90−10x+x
=90−9x
AS per the question
New number = Original number +27
90−9x=9x+9+27
90−9x=9x+36
18x=54
x=54/18
x=3
Digit at tens place ⇒3 and one's place : 6
∴ Two digit number: 36
Answered by
0
Answer:
answer =36
hope.it helped you
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