# Judy and Tim each has a sum of money. Judy’s amount is 3/5 that of Tim’s. If Tim were to give Judy $168, then his remaining amount will be 7/9 that of Judy’s. How much does Judy have originally?

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According to the question,

x= y ----(A)

and, y-168 = x -----(B)

Putting the value of (A) in (B), we will get:-

y-168 = ()(y)

⇒y-168 =

⇒45y-7560 = 21y

⇒45y - 21y = 7560

⇒24y = 7560

⇒y = 315 --------------------(C)

Now, putting the value of (C) in (A), we will get: -

x=

⇒ x = 189

Therefore, Judy has $189 and Tim has $315.