The difference of two numbers is 15% of larger sum. The ratio of the larger number to the smaller number is :

Answer: Option A

Let the number are a and b
where a > b
According to the question,
(a - b) = $$\frac{15}{100}$$ (a + b)
(a - b) = $$\frac{3}{20}$$ (a + b)
20a - 20b = 3a + 3b
17a = 23b
$$\frac{a}{b}$$ = $$\frac{23}{17}$$
Required ratio = 23 : 17