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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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 + 2
"four times the smaller number" means:
"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.
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