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A number is thrice another number. The sum of their reciprocals is 4. Find The numbers.
a number = x thrice another number = 3x the sum of their reciprocal is equal to 4 1/x + 1/3x = 4 LCD = 3x 3x (1/x + 1/3x = 4) 3x/x + 3x/3x = 3x(4) 3 + 1 = 12x 4 = 12x 4/12 = x 1/3 = x
a number = x
thrice another number = 3x
the sum of their reciprocal is equal to 4
1/x + 1/3x = 4
LCD = 3x
3x (1/x + 1/3x = 4)
3x/x + 3x/3x = 3x(4)
3 + 1 = 12x
4 = 12x
4/12 = x
1/3 = x
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