Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than

Question

3 years ago

8

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 $n$?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 $n$?

Mathematics

1 answer:

vagabundo [1.1K] · Answer 1 · 2022-05-10T23:34:11+03:00

Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45