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THE RATIO OF TWO QUANTITIES IS 3 TO 4. IF EACH OF THE QUANTITIES IS INCREASED BY 5, WHAT IS THE RATIO OF THESE TWO NEW QUANTITIES?
A. 3/4
B. 8/9
C. 18/19
D. 23/24
E. IT CANNOT BE DETERMINED FROM THE INFORMATION GIVEN
Let the two quantities be a and b. Then we have a/b= 3/4, that means 4a=3b. We can put a=3k and b=4k. We should find the ratio (a+5)/(b+5)=(3k+5)/(4k+5). That means, however, (3k+5)/(4k+5) has different value depending on the value of k. So we cannot determine the ratio of (a+5) to (b+5) with only information above. The answer is, therefore, E)
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