a number consists of two whose sum is 9 if 27 is subtracted from the number its digits are reversed. Find the number
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If you keep x as the ten's digit of the original number and y as the unit's digit of the number , any number following : x 3=y , will follow this rule . The numbers following this rule is 14 27=41 , 25 27=52 , 36 27=63 , 47 27=74 , 58 27=85 , 69 27=96
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Answer:
Given:-
- let ones place digit of a number = x
- Sum of 2 digits = 9
- Tens place digit of a number = 9 - x
Step-by-step explanation:
Then:-
➤ 10 ( 9 - x ) x = 90 - 10x - x
= 90 - 9x
Now:-
- 27 is subtracted from the number we get the digits are reversed.
Solution:-
➠ 90 - 9x - 27 = 10 (x) + 9 - x
➠ 90 - 9x - 27 = 10x + 9 - x
➠ - 9x + 63 = 9x + 9
➠ 63 - 9 = 9x + 9x
➠ 54 = 18x
➠
➠ x = 3
⇒ Ones place = 3
⇒ Tens place = 9 - 3
= 6.
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