my sister is 14 years older than i am. the sum of our ages is 50. find our ages

S=sister's age

S-14=my age

the sum of our ages is 50
S+(S-14) = 50
Solve for S and S-14.

To find your ages, let's assign variables to represent your age and your sister's age.

Let's say your age is x.

Since your sister is 14 years older than you, her age would be x + 14.

The sum of your ages is 50, so we can set up an equation:

x + (x + 14) = 50

Simplifying the equation, we have:

2x + 14 = 50

Subtracting 14 from both sides, we get:

2x = 36

Dividing both sides by 2, we find:

x = 18

Therefore, your age is 18 and your sister's age is 18 + 14 = 32.