Three brothers divided Rs. 1620 among themselves in such

Three brothers divided Rs. 1620 among themselves in such a way that the share of second is equal to 5/13 of the share of other two, combined. What is the share of the second one?

Let the shares of three brothers be Rs. a, Rs. b and Rs. c respectively.
According to the question,

b =	− 5	(a + c)
	13

⇒	13b	= a + c ..... (i)
	5

∴ a + b + c = 1620

⇒	13b	+ b = 1620
	5

⇒	13b + 5b	= 1620
	5

⇒ 18b = 1620 × 5

⇒ b =	1620 × 5	= Rs. 450
	18