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The result of subtraction of two numbers is equal to 3/7 of their sum. If the smaller number is 6, what is the other number?

The result of subtraction of two numbers is equal to 3/7 of their sum. If the smaller number is 6, what is the other number? Correct Answer 15

Let the greater number is = x and the smaller number is = y According to the question, x - y = 3/7 (x + y) or, 7x - 7y = 3x + 3y or, 7x - 3y = 3y + 7y or, 4x = 10y or, 4x = 10*6 [As the smaller number is 6] or, 4x = 60 or, x = 15 Ans: The greater number is 15

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