There were some marbles in Box A and Box B.
Joel took out 19 of the marbles from Box A and put
all of them into Box B. The ratio of the number of
marbles in Box A to the number of the marbles in
Box B became 4 : 7. There were then 42 more
marbles in Box B than in Box A. How many
marbles were there in Box B at first?
removing 1/9 from A leaves 8/9 A left in A
8/9 A / (B + 1/9 A) = 4/7 Then given that B+ 1/9 A = 42 + 8/9 A sub this in for ( B + 1/9 A)
8/9 A / (42 +8/9 A) = 4/7
8/9 A = 4/7 ( 42 + 8/9 A) reults in A = 63 then because B+ 1/9 A = 42 + 8/9 A B = 91 marbles originally