anonymous
  • anonymous
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?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
Choose 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
  • mathstudent55
"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
  • IrishBoy123
for "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

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mathstudent55
  • mathstudent55
@IrishBoy123 That is true, but how does it help here?
IrishBoy123
  • IrishBoy123
an odd number can't equal an even number
mathstudent55
  • mathstudent55
Good point. I think the problem should read "There are two consecutive odd numbers ..."

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