SOLUTION: The sum of two numbers is –6. The smaller number is 24 less than the larger number. Find the two numbers.

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Question 833090: The sum of two numbers is –6. The smaller number is 24 less than the larger number.
Find the two numbers.

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
A + B = -6
B = A-24
.
substitute the value into the top equation
A + (A-24) = -6
2A - 24 = -6
Add 24 to each side
2A = 18
A = 9
.
If A is 9 and the sum of A+B is -6, then B must be -15.