one number is twice another number. if the sum of their reciprocals is 1/4, find the two numbers
+23254 Let x represent one number.
The other number is 2x.
The sum of their reciprocals is 1/4: 1/x + 1/(2x) = 1/4.
The lowest common denominator is 4x; multiply both sides of the equation by 4x:
4(1/x) + 4(1/(2x)) = 4(1/4)
4 + 2 = x
Thus, x = 6 and 2x = 12.
The two numbers are 6 and 12
+23254 Let x represent one number.
The other number is 2x.
The sum of their reciprocals is 1/4: 1/x + 1/(2x) = 1/4.
The lowest common denominator is 4x; multiply both sides of the equation by 4x:
4(1/x) + 4(1/(2x)) = 4(1/4)
4 + 2 = x
Thus, x = 6 and 2x = 12.
The two numbers are 6 and 12
