A number consists of 2 digits,the difference of whose digits is 5. if 8 times the number is equal to 3 times the number obtained by reversing the digits, find the number
Answers
Answer:
I am sure about:
-If there is no rounding rule to meet the '3 times' condition, there is no solution.
-If there is a rounding rule to meet the '3 times' condition, 27 is the only solution
I am unsure about:
-If there is a rounding rule to meet the '3 times' condition, and negative numbers count (this bit i doubt it would follow the 'the difference of the digits is 5' condition); then 27 and -27 are both solutions to your question.
Step-by-step explanation:
Possibilities:
1) 16 , 27 , 38 , 49 , 50 , 61 , 72 , 83 , 94 (2-digit number, where the single
| digits have a difference of 5)
| x 8
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2) 128 , 216 , 304 , 392 , 400 , 488 , 576 , 664 , 752 ( new original numbers)
|
| Flip number
\/
3) 821 , 612 , 403 , 293 , 004 , 884 , 675 , 466 , 257 (flipped number)
|
| divide by new original number
\/
4) > 3 , < 3 , < 3 , < 3 , < 3 , < 3 , < 3 , < 3 , < 3
if the number is rounded to a whole integer for 'is equal to 3 times the number obtained by reversing the digits' , then 27 would be the answer
otherwise there is no solution.
Even if these negative numbers were accepted as part of the possibilities, there will still be no number that will follow the '3 times' condition without rounding to a whole integer, there will still be no solution. But if rounding was accepted, and negative numbers follows 'the difference of of the digits is 5' condition; 27 and -27 are two solutions.
I am sure about:
-If there is no rounding rule to meet the '3 times' condition, there is no solution.
-If there is a rounding rule to meet the '3 times' condition, 27 is the only solution
I am unsure about:
-If there is a rounding rule to meet the '3 times' condition, and negative numbers count (this bit i doubt it would follow the 'the difference of the digits is 5' condition); then 27 and -27 are both solutions to your question.