a number consists of two digits whose sum is 9 if 9 is subtracted from the number the digits interchange their places find the number
Answers
Answered by
1
Answer:
the answer is 45
Step-by-step explanation:
the numbers whose sum is 9
5+4=9
the 9 subtracted from 54
54-9=45
the number interchange
Answered by
1
A no. consists of two digits whose sum is 9. if 9 is subtracted from the no. the digit interchange their places. find the no.
Let the digit at ones place = x
digit at tens place = 9 - x
original number = 10 ( 9 - x) + x = 90 - 9x (1)
When the digits are reversed, then new number = 10x + (9 - x) = 9x + 9
according to the given condition,
(90 - 9x) - (9x + 9) = 9
- 9x - 9x = 9 + 9 - 90
- 18x = -72 ⇒ x = 4
so from (1), we get
original number = 90 - 9 × 4 = 90 - 36 = 54
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