Question
The ratio of two numbers ‘X’ and ‘Y’ is 5:3,
respectively. If 12 is subtracted from each of ‘X’ and ‘Y’, then the ratio of ‘X’ and ‘Y’ becomes 7:3. The sum of ‘X’ and ‘Y’ is:Solution
Let the two numbers ‘X’ and ‘Y’ be ‘5x’ and ‘3x’, respectively ATQ; (5x - 12)/(3x - 12) = 7/3 Or, 15x - 36 = 21x - 84 Or, 6x = 48 Or, x = 8 Now, sum of ‘X’ and ‘Y’ = 5 × 8 + 3 × 8 = 64
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