Question
The ratio of two numbers is 5:4. A number y is then
subtracted from each of the two given numbers so that the ratio of the resultant numbers becomes 2:1. What would be the ratio of the resultant numbers when the same number y is added to each of the two initial numbers?Solution
Let the two numbers be 5x and 4x. Â According to the question, (5x - y)/ (4x - y) = 2/1 5x-y=8x - 2y 3x = y -----(1) Now, the ratio when y is added to the two numbers, Â (5x + y): (4x + y) Take the value of y from equation (1), we get (5x + 3x): (4x + 3x) = 8x: 7x = 8:7.
Statements: E ≤ F < G; E ≥ H < I; H > J ≥ K
Conclusions:
I. H ≤ F
II. I ≥ K
III. H > G
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