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anonymous
 one year ago
There are two consecutive even numbers such that four times the smaller number minus one is three times the greater number. What is the smaller number?
anonymous
 one year ago
There are two consecutive even numbers such that four times the smaller number minus one is three times the greater number. What is the smaller number?

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Choose x to be the smaller of the two numbers. x is the smaller even number. Now let's look at even numbers: 0, 2, 4, 6, 8, 10 Notice that the difference between one number and the next is always 2. If we use x to be the smaller of the two even numbers, then the larger one will be x + 2 Our two even numbers are x and x + 2

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0"four times the smaller number" means: 4x "four times the smaller number minus one" means: 4x  1 "three times the greater number" means 3(x + 2) That means this equation is true: 4x  1 = 3(x + 2) Now you need to solve the equation for x to find the smaller number.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0for "two consecutive even numbers " "four times the smaller number"  will be even "four times the smaller number minus one"  will be odd "three times the greater number"  will be even

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0@IrishBoy123 That is true, but how does it help here?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0an odd number can't equal an even number

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Good point. I think the problem should read "There are two consecutive odd numbers ..."
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