SOLUTION: A TWO-DIGIT NUMBER HAS A ONES DIGIT THAT IS TWICE THE TENS DIGIT. IF THE DIGITS ARE INTERCHANGED, THEN HALF OF THE NEW NUMBER IS LESS THAN THE ORIGINAL NUMBER BY 3. WHAT IS THE

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Question 464324: A TWO-DIGIT NUMBER HAS A ONES DIGIT THAT IS TWICE THE TENS DIGIT. IF THE DIGITS ARE INTERCHANGED, THEN HALF OF THE NEW NUMBER IS LESS THAN THE ORIGINAL NUMBER BY 3. WHAT IS THE ORIGINAL NUMBER?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let x the tenths, and y the ones. Base on the given data we write the system:
system%28y=2x%2C+%2810y%2Bx%29%2F2=%2810x%2By%29-3%29, solve this system by substituting y=2x in
the second equation:%2810%2A2x%2Bx%29%2F2=10x%2B2x-3, solving this linear equation we
get:21x%2F2=8x-3<=>21x-24x=-6<=>-3x=-6<=>x=2, and
y=2x=2%2A2=4. Thus, our number is 24.