The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first number and le t b represent the second number. What are the two numbers? Use the table to answer the question.
2 answers:
Write 2 equations:
a +b = 39
and b = 1/2a + 6
Now replace b in the first equation with the second one:
a + 1/2a + 6 = 39
Combine like terms:
1 1/2a + 6 = 39
Subtract 6 from each side:
1 1/2a = 33
Divide both sides by 1 1/2:
a = 33 / 1 1/2 = 33 / 1.5
a = 22
Now replace a with 22 in the first equation and solve for b:
22 + b = 39
b = 39 -22
b = 17
The two numbers are 17 and 22.
Answer:22 and 17
Step-by-step explanation:
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