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Answer:
The numbers are 30 and 42.
Step-by-step explanation:
Ratio of the numbers = 5:7
Let the two numbers be 5x and 7x.
New ratio obtained if two is subtracted from each numbers = 7:10
According to the problem ,
By cross multiplication , we get
10(5x - 2) = 7(7x - 2)
50x - 20 = 49x - 14
50x - 49x = 20 - 14
∴ x = 6
The two numbers are
5x = 5*6 = 30
and
7x = 7*6 = 42.
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