Question 1204869
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?



Let youngest sister  be n  years old

Lana is twice the youngest sister's age. =2n

 The other two sisters are twins 2 years younger than Lana.
The age of the twins is (2n-2) years

 When the four sisters' ages are added together, the result is 45.

n+2n +2*(2n-2)=45

n+2n +4n-4=45


7n -4=45

7n = 49

n =49/7 = 7




14+12+12+7 =45