Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins 2 years younger than Lana. When the four sisters' ages are added together, the result is 45. If the youngest sister is n years old, what is n? will give meadel

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Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins 2 years younger than Lana. When the four sisters' ages are added together, the result is 45. If the youngest sister is n years old, what is n? will give meadel

Mathematics
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I will give a medal
If the youngest sister is \(n\), then the oldest is \(2n\) because the youngest sister is half her age.
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Then two sisters are twins and they are 2 years younger than Lana.
We know Lana is \(2n\), so the two sisters are both \(2n-2\).
Set up the equation. Lana+ twin +twin+youngest =45
so what age is the youngest?
The youngest is n. I put that first. Read it.
so what is n?
\[2n+2n-2+2n-2+n=45\]Now solve for n.
I don't give out answers. YOU work for it.
so is it 7n-4?
Yes, but you need to find for n, right?
so 7n-4=5
\[\huge 7n-4=45\]
Add 4 on both sides. Then divide 7 on both sides.
so it is 7?
yes

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