When 3 is divided by the sum of a certain number and 8,the result is the same as dividing 2 by the sum of that number and 3.What is the number?

Answer 1

x = your number

3 / ( x + 8 ) = 2 / ( x + 3 )

Cross multiply

3 ∙ ( x + 3 ) = ( x + 8 ) ∙ 2

3 x + 9 = 2 x + 16

Subtract 2 x to both ides

x + 9 = 16

Subtract 9 to both sides

x = 7

Checking the results:

3 / ( 7 + 8 ) = 2 / ( 7 + 3 )

3 / 15 = 2 / 10

3 ∙ 1 / 3 ∙ 5 = 2 ∙ 1 / 2 ∙ 5

1 / 5 = 1 / 5