SOLUTION: The sum of the digits of a two-figured number is 9. If the digits are interchanged, the number obtained is only 3/8 as large as the original number. Find the number.

Algebra ->  Sequences-and-series -> SOLUTION: The sum of the digits of a two-figured number is 9. If the digits are interchanged, the number obtained is only 3/8 as large as the original number. Find the number.      Log On


   

Question 1066760: The sum of the digits of a two-figured number is 9. If the digits are interchanged, the number obtained is only 3/8 as large as the original number. Find the number.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
t TENS
u ONES
system%28t%2Bu=9%2C10u%2Bt=%283%2F8%29%2810t%2Bu%29%29

80u%2B8t=3%2810t%2Bu%29
80u%2B8t=30t%2B3u
77u=22t
7u=2t
7%289-t%29=2t
63-7t=2t
63=9t
7=t----------u=2

Original Number, 72

CHECK:
Reverse the digits, result is 3%2F8 of 72?
27=%283%2F8%29%2A72
27=%283%2A8%2A9%29%2F8
27=%283%2A9%2A%288%2F8%29%29
27=3%2A9%2A1
27=27
yes

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a two-figured number is 9. If the digits are interchanged, the number obtained is only 3/8 as large as the original number. Find the number.
Correct answer: highlight_green%28matrix%281%2C3%2C+Original%2C+%22number%3A%22%2C+72%29%29