Question

Five divided by the difference of a number and 1 equals the quotient of ten and the sum of the number and eleven. Find the number.

Answer 1

Answer:

x=13 (The number is 11)

Step-by-step explanation:

5/(x-1)=10/x+11

Use cross multiplication:

5(x+11)=10(x-1)

5x+55=10x-10

(Rewrite):10x-10=5x+55

Substract 5x from each side then simplify.

10x-5x-10=5x-5x+55

5x-10=0+55

5x-10=55

Add ten on both sides. Then simplify.

5x-10+10=10+55

5x=65

x=13