if the sum of two numbers is 5, and 1/6 of one of the numbers is equal to 25% of the other number, what are the numbers?

Answer 1

Since the sum of the two numbers equals 5, we can write one number as n and the other as 5-n. Now, let's write our equation. First, let's convert 25% into a fraction--that would be 1/4. So our equation is:

1/6(x)=1/4(5-x)

Now, we want the constants to both be whole numbers, so let's multiply them both by LCM(6,4) which is 24. After we've multiplied both sides by 24, we get:

4x=6(5-x)

The most important step before moving on is distribution, since after that we can use the properties of equality to solve the equation. After distributing the 6 on the right side we get:

4x=30-6x

Our goal is to combine like terms so we can end up isolating the variable. So, the easiest way to do that would be to add 6x to both sides to get:

10x=30

Finally, our last step is to divide both sides by 10. Now we know that n=3 and 5-n=2.

Now let's check if our solution is correct by plugging in the numbers. 1/6 of 3=1/2, which equals 1/4 of 2. Therefore, our solution is correct.

Solution: 3 and 2