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Two whole numbers stand in the ratio 4 : 7. Subtracting 6 from each changes the ratio to 1 : 2. Find the larger number.

Competition practiceRatio, Proportion & Mixtures

A42
B24
C36
D48

Step-by-Step Solution

Let the numbers be

4 x

and

7 x . (4 x - 6) / (7 x - 6) = 1/2

gives

8 x - 12 = 7 x - 6

, so

x = 6

. Larger number =

7 x = 42

.

Answer: A) 42

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