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If the difference between the two numbers is 30 percent of their sum, then what is the ratio of larger number and smaller number?
Question

If the difference between the two numbers is 30 percent of their sum, then what is the ratio of larger number and smaller number?

A.

14:3

B.

12:5

C.

13:7

D.

15:7

Correct option is C

Solution:
Difference = 30% of their sum
L - S = 30100\frac{30}{100}​(L + S)
Where  L = larger number, S = smaller number
100 L - 100S = 30L+ 30 S

70 L = 130S

L/S = 13/7

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