The sum of two numbers is six. Four times the smaller is equal to two times the larger.

Answer 1

,Let's let x represent the smaller number and y represent the larger number. Then since the sum of the two numbers is 6 , we can write the following equation:

x + y = 6

Then since 4 times the smaller number (x) is equal to 2 times the larger (y), we can also write:

4x = 2y

If we divide both sides the equation 4x=2y by 2, we find that:

4x/2 = 2y/2

2x = y

If we substitute 2x for y in our first equation, we can find the value of x (or the smaller number):

x + y = 6

x + 2x = 6

Then 3x = 6

x =2

So the smaller number is 2. Since the sum of the two numbers is 6, the larger number (or y) will be 4.

To verify, 4x does equal 2y:

4 * 2 = 2 * 4