Glen and Gabriel gave away the same number of marbles. Glen gave away ³₅ of his marbles while Gabriel gave ⁵₉ of his marbles away. Given that Glen had 20 marbles less than Gabriel at first, how many marbles did Glen have at first?

	Glen	Gabriel
Before	5x5 = 25 u	9x3 = 27 u
Change	- 3x5 = - 15 u	- 5x3 = - 15 u
After	2x5 = 10 u	4x3 = 12 u

The number of marbles that Glen and Gabriel gave away is the same.  Make the number of marbles that Glen and Gabriel gave away the same. LCM of 3 and 5 is 15.

Number of marbles that Glen had at first = 25 u
Number of marbles that Gabriel had at first = 27 u

Number of marbles that Glen had less than Gabriel at first
= 27 u - 25 u
= 2 u

2 u = 20

1 u = 20 ÷ 2 = 10

Number of marbles that Glen had at first
= 25 u
= 25 x 10
= 250

Answer(s): 250