A number consists of two digits whose sum is 5. If we add 9 with the number, the digits in the number are interchanged. plz tell the answer in one variable only i will give you 30 points for the answer
Answers
Answered by
2
Answer:
23
Step-by-step explanation:
Let's the digit at ones place be x.
Then,the digit at tens place =(5-x)
Number formed =10×(5-x)+x
=)50-10x+x
=)50-(10-1)x
=) (50-9x)
The number formed when the digits are interchanged.
=) 10x + (5-x)
=)10x - x +5
=)9x+5
Now, according to the question,we have
(50-9x) + 9=9x + 5
- 50-9x+9 = 9x+5
- -9x-9x=5-50-9 (transposing 9x toL.H.S and 50 or 9 to R.H.S)
- -18x = 5-59
- -18x=-54
- x= -54/-18
- x=3
The digit in the ones place is 3 and the digit in tens place =(5-x)= 5-3= 2.
Hence,the number is 23.
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Answered by
2
Answer Is:- 23
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