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4. Two consecutive even numbers are such that the sum of the larger number and three times the smaller number is 42. Find the two numbers.

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JeanaShupp

Answer: The two numbers are 10 and 12.

Step-by-step explanation:

Let the two consecutive numbers are x and x +2.

As per given, we have

[tex](x+2)+3x=42\\\\\Rightarrow\ 4x+2=42\\\\\Rightarrow\ 4x=40\\\\\Rightarrow\ x=10[/tex]

Smaller number = 10

Larger number = 10+2=12

Therefore, The two numbers are 10 and 12.

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