Solve.
-One number is 5 times larger than another. The sum of their reciprocals is $\frac { 2 } { 5 }$. Determine the two numbers.
A) 15 and 75
B) 3 and 15
C) $\frac { 1 } { 3 }$ and $\frac { 5 } { 3 }$
D) 5 and 25

Question

Quizplus · Accepted Answer

Let the smaller number be $x$ and the larger number be $5x$. The sum of their reciprocals is $\frac{1}{x} + \frac{1}{5x} = \frac{2}{5}$. Solving this equation gives $x = 3$ and $5x = 15$, which matches option B.

Solve -One Number Is 5 Times Larger Than Another 25\frac { 2 } { 5 }52​

Solve
-One Number Is 5 Times Larger Than Another $\frac { 2 } { 5 }$