Question

The sum of Sasha’s and Natalie’s ages is 31. Twice Natalie’s age is 11 years more than Sasha’s age. Find each of their ages

Answer 1

Natalie's age is 14

Sasha's age is 17

Explanation:

Let

Sasha's age be "s", and

Natalie's age be "n"

Sum of Sasha and Natalie is 31:

s + n = 31

Twice Natalie is 11 more than Sasha:

2n = s + 11

We ca solve this equation for s first:

s = 2n - 11

We put this into first equation and solve for n first:

s + n = 31

2n - 11 + n = 31

3n = 31 + 11

3n = 42

n = 42/3 = 14

Natalie's age is 14

Also, s = 2n - 11

s = 2(14) - 11

s = 28 - 11

s = 17

Sasha's age is 17