Kate and Nora each have a sum of money. The ratio of the amount of money
Kate has to that of Nora is 3:5. After Nora gives $150 to Kate, the ratio of
the amount of money Kate has to that of Nora becomes 7:9. Find the sum
of money Kate had initially
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Answered by
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Answer:
Let Kate has x
and Nora has y sum of money
Now, According to Question
5
3
=
y
x
⇒y=
3
5
x
After Nora gives Kate Rs.150
9
7
=
y−150
x+150
⇒7y−1050=9x+1350⇒7y−9x=2400⇒7×
3
5
x−9x=2400⇒x=900
So, Kate had Rs.900 initially
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