Question
Sum of the two numbers is 6 times their difference. Then
the numbers are in the ratio.Solution
ATQ, Let the two number be x and y x + y = 6×(x-y) So, x + y = 6x - 6y So, 7y = 5x. Now, we can express y in terms of x y = (5/7)x The ratio of the two numbers x and y is given by: Ratio = (x/y) Substitute the expression for y in terms of x: Ratio = (x/(5/7)x) To get rid of the fraction in the denominator, multiply both the numerator and denominator by 7: Ratio = 7x/5x Now, simplify the ratio: Ratio =7/5 So, the numbers are in the ratio of 7:5.
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