Question 253771
If 1 less than a number is divided by 5 less than twice the number, the result is 21/39.
 What is the number?
:
Let x = "a number"
:
Write an equation for what it says:
{{{((x-1))/((2x-5))}}} = {{{21/39}}}
cross multiply, solve for x
39(x-1) = 21(2x-5)
:
39x - 39 = 42x - 105
:
-39 + 105 = 42x - 39x
:
66 = 3x
x = {{{66/3}}}
x = 22
:
:
See if that works in the original statement:
{{{((22-1))/((44-5))}}} = {{{21/39}}}