The difference of two numbers is 15% of their sum. The ratio

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

Let the numbers be p and q
where p > q. Then,

p - q =	15	(p + q)
	100

⇒ p - q =	3	(p + q)
	20

⇒ 20p – 20q = 3p + 3q
⇒ 20p – 3p = 20q + 3q

⇒ 17p = 23q ⇒	p	=	23
	q		17