Question 680730
The number 150 was written as the sum of two numbers.
x + y = 150
y = (150-x)
:
The first number was divided by 27. 
This quotient was added to the second number divided by 23, and the total was 6.
{{{x/27}}} + {{{y/23}}} = 6
multiply by 23*27 = 621, to clear the denominators, results
23x + 27y = 621(6)
23x + 27y = 3726
Replace y with (150-x)
23x + 27(150-x) = 3726
23x + 4050 - 27x = 3726
23x - 27x = 3626 - 4050
-4x = -324
 x = +81
then
 y = 150 - 81
 y = 69
:
What were the two numbers? 81, 69
:
:
;
Check this
{{{81/27}}} + {{{69/23}}} = 6