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Question 310093: THE UNITS DIGIT OF A TWO DIGIT NUMBER IS THREE TIMES THE TENS DIGIT. IF THE DIGITS ARE REVERSED THE RESULTING NUMBER IS 36 MORE THAN THE ORIGINAL NUMBER. WHAT IS THE ORIGINAL NUMBER?
THIS WAS A PROBLEM TO SOLVE IN THE" CRACKING THE SAT 2010 EDTIION PRINCETON REVIEW" BOOK. I FEEL THERE MAY BE A MISTAKE IN THE ANSWER LINE UP IN RELATION TO MULTIPLE CHOICE ANSWERS. PAGE 202 THE ANSWER IS LISTED AS B BUT AFTER REPEATED ATTEMPTS FEEL THE CHOICE IS A. THE ANSWERS WERE LISTED AS FOLLOWS
A. 26, B. 36, C. 39, D. 54, E. 93
I LOOK FORWARD TO HEARING FROM YOU REGARDING THIS QUESTION.
THANK YOU
MAKAILA STIERLIN
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! THE UNITS DIGIT OF A TWO DIGIT NUMBER IS THREE TIMES THE TENS DIGIT. IF THE DIGITS ARE REVERSED THE RESULTING NUMBER IS 36 MORE THAN THE ORIGINAL NUMBER. WHAT IS THE ORIGINAL NUMBER?
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The difference from reversing digits is 9 times the difference between the 2 digits.
A difference of 36 means the 10s and 1s digits differ by 4.
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Only A has a difference between them of 4.
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62 - 26 = 36
And, 6 is 3x 2, so that's the answer.
You're right, the answer is obviously A.
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