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Saturday, 2 November 2019

If the ratio of the sum and difference of two numbers is 8:3, what is the ratio of two numbers?

  By GK Planet Team       Saturday, 2 November 2019
Q. If the ratio of the sum and difference of the two numbers is 8:3, what is the ratio of two numbers?
  1. 12:25
  2. 11:5
  3. 13:9
  4. 13:3
Answer: 11:5

Solution:

Let the numbers are x & y
Also x>y
From the question:

 \frac{x + y}{x - y}  =  \frac{8}{3}
by solving the above equation, we get
3x + 3y = 8x - 8y
5x = 11y
or
 \frac{x}{y}  =  \frac{11}{5}
hence the ratio of numbers is 11:5
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Thanks for reading If the ratio of the sum and difference of two numbers is 8:3, what is the ratio of two numbers?

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