Question

Five sisters' ages added up to 211. The oldest sister's age was 3 times

that of the youngest. The next to the oldest was 2 years younger than the
oldest and the middle sister was twice as old as the youngest. The
remaining sister was 3 years older than the youngest sister. What is the
age of the oldest sister?

Please have the answer as a worded answer!
(ex: there are 35 pounds of beans.)

Answer 1

The oldest sister is 63 years old. This was found by creating equations based on the information given about the sisters' ages and then solving for the youngest sister's age first.

Step-by-step explanation:

Let's denote the youngest sister's age as 'y'. According to the problem, the oldest is three times the youngest (3y), the second oldest is two years younger than the oldest (3y - 2), the middle sister is twice as old as the youngest (2y), and the fourth sister is three years older than the youngest (y + 3). Adding up their ages gives us the equation y + 3y + (3y - 2) + 2y + (y + 3) = 211.

Simplifying, we have 10y + 1 = 211. Subtracting 1 from both sides gives 10y = 210. Dividing both sides by 10 yields y = 21, which is the youngest sister's age. Therefore, the oldest sister is three times the youngest, which means her age is 3 × 21 = 63 years old.

Answer 2

The oldest is 60 years olds.

Step-by-step explanation:

a+b+c+d+e=211

a=3e

b=a-2

c=2e

d=e-3

3e+3e-2+2e+e-3+e-6=211

10e-5=211

211-11=10e

200=10e

e=20