The sum of two numbers is 15 and the sum of their reciprocals is 3/10. The larger number is:

10. x + (15-x) = 15; 1/x + 1/15-x = 3/10. 15/x(15-x) = 3/10, x(15-x)=50, x^2-15x+50=0, (x-5)(x-10)=0. Larger = 10.

The sum of two numbers is 15 and the sum of their reciprocals is $\frac{3}{10}$ . The larger number is:

Class 10Quadratic Word ProblemsAlgebra — Quadratics

x + (15 - x) = 15

;

\frac{1}{x} + \frac{1}{15 - x} = \frac{3}{10} . \frac{15}{x ( 15 - x )} = \frac{3}{10}, x (15 - x) = 50, x^{2} - 15 x + 50 = 0, (x - 5) (x - 10) = 0

. Larger = 10.

Answer: C) 10

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