Asked by Najib
Find all two-digit numbers such that reversing the digits results in another two-digit number that is 75% larger than the original number.
Answers
Answered by
Reiny
original:
let the unit digit be x
let the tens digit be y
number is 10y+x
number reversed = 10x+y
10x+y = 1.75(10y+x)
10x+y = 17.5y + 1.75x
8.25x = 16.5y
times 4
33x = 66y
x = 2y
# reversed#
12 21 ----> 21/12 = 1.75
24 42 ---> 42/24 = 1.75
36 63 etc.
48 84
So the number are 12, 24, 36, and 48
let the unit digit be x
let the tens digit be y
number is 10y+x
number reversed = 10x+y
10x+y = 1.75(10y+x)
10x+y = 17.5y + 1.75x
8.25x = 16.5y
times 4
33x = 66y
x = 2y
# reversed#
12 21 ----> 21/12 = 1.75
24 42 ---> 42/24 = 1.75
36 63 etc.
48 84
So the number are 12, 24, 36, and 48
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.