one positive number is 28 less than another number. if the reciprocal of the smaller number is added to four times the reciprocal of the larger number, the sum is 1/6. Find the two numbers
Let x represent the larger number. 1/(x -28) +4/x = 1/6 Multiplying by the product of denominators, we have 6x +24(x -28) = x(x -28) In standard form, this is x^2 -58x +672 = 0 (x -42)(x -16) = 0
