Question

The difference between a snert and a snart is six. The sum of twice a snert and a snart is eighteen. How large is a snert and how large is a snart?​

Answer 1

By setting up a system of equations from the given information, it is determined that a snert is 8 and a snart is 2.

Step-by-step explanation:

The student's question involves setting up a system of equations and solving it. To find the values of a snert and a snart, we can assign variables to them, let's say snert = s and snart = n. The question gives us two pieces of information:

1. The difference between a snert and a snart is six: s - n = 6.
2. The sum of twice a snert and a snart is eighteen: 2s + n = 18.

We can solve these equations concurrently. First, rearrange the first equation to n = s - 6 and then substitute this into the second equation to get 2s + (s - 6) = 18. Simplifying 3s - 6 = 18, therefore s = 8. Substituting s back into n = s - 6, we find n = 2. So, a snert is 8 and a snart is 2.

Answer 2

The measure of a snart is 2 and that of a snert is 8.

Step-by-step explanation:

Represent the size of a snert by e and that of a snart by a.

Then e - a = 6. This assumes that e > a.

2e + a = 18. Substitute e - 6 for a, obtaining:

2e + (e - 6) = 18.

Simplifying, we get

2e + e - 6 = 18, or

3e = 24, and so

e = 8

Remembering that e - a = 6, we have 8 - a = 6. Then a must be 2.

The measure of a snart is 2 and that of a snert is 8.