Question
The ratio of two numbers ‘M’ and ‘N’ is 8:5,
respectively. If 14 is subtracted from each of ‘M’ and ‘N’, then the ratio of ‘M’ and ‘N’ becomes 3:1. The sum of ‘M’ and ‘N’ is:Solution
Let the two numbers ‘M’ and ‘N’ be ‘8x’ and ‘5x’, respectively ATQ; (8x - 14)/(5x - 14) = 3/1 Or, 8x - 14 = 15x - 42 Or, 7x = 28 Or, x = 4 Now, sum of ‘M’ and ‘N’ = 8 × 4 + 5 × 4 = 52
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