Solve.
-Five divided by the difference of a number and 5 equals the quotient of 10 and the sum of the number and $3 .$ Find the number.
A) $- 7$
B) $\frac { 13 } { 3 }$
C) 13
D) $\frac { 8 } { 5 }$

Question

Quizplus · Accepted Answer

Let $ x $ be the number. Then,$$\frac { 5 } { x - 5 } = \frac { 10 } { x + 3 }$$Cross-multiplying, we get$$5 ( x + 3 ) = 10 ( x - 5 )$$$$5 x + 15 = 10 x - 50$$$$10 x - 5 x = 15 + 50$$$$5 x = 65$$$$x = 13$$

Solve -Five Divided by the Difference of a Number and 5

Solve
-Five Divided by the Difference of a Number and 5