4. A positive number is 7 times another number. If 15 is added to both the numbers,
then one of the new number becomes 5/2 times the other new number. What are the
numbers?
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Answer:
Let the number be x
Then the other number =
7
x
According to the condition ,
x+15=
2
5
(
7
x
+15)
2(x+15)=
7
5x
+5×15
2x+30=
7
5x
+75
On simplification we get,
2x−
7
5
x=75−30
7
14−5
x=45
7
9x
=45
x=45×
9
7
We get ,
x=35
Hence ,
One number =35
Other number =
7
35
=5
Therefore , the numbers are 35 and 5
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