SOLUTION: The sum of two numbers is 65. The difference of the two numbers is 27. Write and solve a system of linear equations to find the two numbers. Let x represent the greater number, and

Question 1012513: The sum of two numbers is 65. The difference of the two numbers is 27. Write and solve a system of linear equations to find the two numbers. Let x represent the greater number, and y represent the lesser number.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
x-y=27
x=y+27
.
x+y=65
(y+27)+y=65
2y=38
y=19
ANSWER 1: The smaller number is 19.
.
x=y+27
x=19+27=46
ANSWER: The larger number is 46.
.
CHECK:
x-y=27
46-19=27
27=27
.
x+y=65
46+19=65
65=65
.

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