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diamong [38]
3 years ago
12

If the ratio of two numbers is 5:2, what is the ratio of their sum to their difference?

Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Answer:

7/3

Step-by-step explanation:

Let the two numbers be x and y which are relatively prime to each other.

a/b = 5/2

So you want the ratio of

(a + b) / (a - b)

  • Take out a common factor of b
  • numerator:  b(a/b + 1)
  • denominator: b(a/b - 1)
  • Put them together
  • The b's cancel out
  • (a/b + 1) / (a/b - 1)
  • but a/b = 5/2
  • (5/2 + 1) / (5/2 - 1)
  • Numerator:  (5/2 + 2/2) = 7/2
  • Denominator: 5/2 - 2/2 = 3/2
  • numerator over denominator = 7/2 // 3/2 = 7/2 * 2/3 = 7/3

Answer: 7/3

Nice problem: Thanks for posting.

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