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

Question

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

anonymous · Answer

I will give a medal

anonymous · Answer

If the youngest sister is $n$, 
then the oldest is $2n$ because the youngest sister is half her age.

kash_thesmartguy · Answer

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anonymous · Answer

Then two sisters are twins and they are 2 years younger than Lana.

anonymous · Answer

We know Lana is $2n$, so the two sisters are both $2n-2$.

anonymous · Answer

Set up the equation.
Lana+ twin +twin+youngest =45

anonymous · Answer

so what age is the youngest?

anonymous · Answer

The youngest is n. I put that first. Read it.

anonymous · Answer

so what is n?

anonymous · Answer

$$2n+2n-2+2n-2+n=45$$Now solve for n.

anonymous · Answer

I don't give out answers. YOU work for it.

anonymous · Answer

so is it 7n-4?

anonymous · Answer

Yes, but you need to find for n, right?

anonymous · Answer

so 7n-4=5

anonymous · Answer

$$\huge 7n-4=45$$

anonymous · Answer

Add 4 on both sides. Then divide 7 on both sides.

anonymous · Answer

so it is 7?

anonymous · Answer

yes