In March, Roshel and Vaidev had beads in the ratio 9 : 7. In April, each of them gave away the same number of beads. Roshel then had five times as many beads as Vaidev.

1. Find the ratio of the number of beads Vaidev had in March to the number of beads he had in April.
2. Find the ratio of the total number of beads both had in March to the total number of beads both had in April.

	Roshel	Vaidev	Difference
Before	9x2 = 18 u	7x2 = 14 u	2x2 = 4 u
Change	- 13 u	- 13 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

(a)
Since Roshel and Vaidev gave away the same number of beads, the difference in the number of beads between Roshel and Vaidev at first and in the end remains the same.

Make the difference in the number of beads at first and in the end the same. LCM of 2 and 4 is 4.

Vaidev's beads in March : Vaidev's beads in April
14 : 1

(b)
Total number of beads in March
= 18 u + 14 u
= 32 u

Total number of beads in April
= 5 u + 1 u
= 6 u

Total beads in March : Total beads in April
32 : 6 _(÷2)
16 : 3 

Answer(s): (a) 14 : 1; (b) 16 : 3