The sum of three numbers is 540. The ratio of second to

The sum of three numbers is 540. The ratio of second to third is 9 : 13 and that of first to third is 2 : 7. The third number is :

Let three numbers be a, b and c respectively.
According to the question,
a + b + c = 540
and b : c = 9 : 13
a : c = 2 : 7

∴	a	×	c	=	2	×	13
	c		b		7		9

⇒	a	=	26
	b		63

∴ b : c = 9 : 13 = 63 : 91
∴ a : b : c = 26 : 63 : 91
Sum of the terms of ratio
= 26 + 63 + 91 = 180

∴ c =	91	× 540 = 273
	180