SOLUTION: The number 150 was written as the sum of two numbers. The first number was divided by 27. This quotient was added to the second number divided by 23, and the total was 6. What were

Question 680730: The number 150 was written as the sum of two numbers. The first number was divided by 27. This quotient was added to the second number divided by 23, and the total was 6. What were the two numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
+ = 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
+ = 6
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