The difference of two numbers is 45% of their sum. The ratio of the larger numbe

Question

The difference of two numbers is 45% of their sum. The ratio of the larger number to the smaller number is

Options:

A . 29 : 11

B . 11 : 29

C . 9 : 20

D . 20 : 9

Answer: Option A
Answer: (a)Let the numbers be x and y and x is greater than y. Then x – y = 45% of (x + y) x – y = $45/100(x + y)$ x – y = $9/20(x + y)$20x – 20y = 9x + 9y 20x – 9x = 20y + 9y11x = 29y $x/y = 29/11$ or 29 : 11

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