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The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.8 and 16 10 and 14 11 and 13 15 and 9

User Kolslorr
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2 Answers

6 votes

Answer:

10 14

Explanation:

User Nickand
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4 votes

Answer:

10 and 14

Explanation:

You need only check the answers to see which one satisfies the problem requirements. The differences between the second and first numbers are ...

8, 4, 2, -6

Only one pair has the second number 4 more than the first: 10 and 14.

_____

Since you are given variable definitions, perhaps you're expected to write and solve equations.

a + b = 24 . . . . . the sum of the two numbers is 24

-a +b = 4 . . . . . . the second number is 4 more than the first

Adding these two equations gives ...

(a +b) +(-a +b) = (24) +(4)

2b = 28 . . . . . simplify; next, divide by 2

b = 14 . . . . . . . identifies 10 and 14 as the correct answer

User Slotishtype
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