Question

Reena and Pauline have some bookmarks.If Reena gives Pauline 28 bookmarks,they will have the same number of bookmarks. If Pauline gives Reena 35 bookmarks,she will have 1/3 of what Reena has.How many bookmarks does Reena have?

Answer 1

Let Reena bookmark be X
And Pauline bookmarks be y
x-28=y+28.
x-28-28=y
x-56=y ...1
y-35=1/3(X+35)
3(y-35)= X+35
3y-105=X+35
3y=X+140 ...2
therefore
3(x-56)=X+140. from 1
3x-168= X+140
2x =140+168
2x= 308
X=154
therefore
y=x-56
y=154-56
y= 98
Renna have 154 bookmarks and Pauline have 98 bookmarks