Question
The ratio of two natural numbers 'x' and 'y' is 9:13,
respectively. When 30 is added to 'x' and 15 is subtracted from 'y', the ratio of 'x' to 'y' becomes 3:2. Find the square of the difference between the two numbers.Solution
Let the values of 'x' and 'y' be '9z' and '13z', respectively. ATQ, 
Required square of difference between two numbers: 
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