the ratio of two numbers is 5/6. the second number is 16 less than twice the first number. find both numbers.
how would that be written out?
Im sorry, taking this online class and for college and you are supposed to just do the problems in this workbook but im having problems and there are no directions or anything.... kind fustrating... :[
and continuing with the problem would you then cross multiply?
Read the question properly people...
The ratio of two numbers is $\displaystyle \frac{5}{6}$. The second number is 16 less than twice the first number.
If we call the first number $\displaystyle x$, then twice the first number is $\displaystyle 2x$, and 16 less than twice the first number is $\displaystyle 2x - 16$.
So $\displaystyle \frac{x}{2x - 16} = \frac{5}{6}$
$\displaystyle 6x = 5(2x - 16)$
$\displaystyle 6x = 10x - 80$
$\displaystyle 80 = 4x$
$\displaystyle x = 20$.
Therefore $\displaystyle 2x - 16 = 2(20) - 16$
$\displaystyle = 40 - 16$
$\displaystyle = 24$.
So the two numbers are 20 and 24.