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:Natalie's age is 14Sasha's age is 17Step-by-step explanation:LetSasha's age be "s", andNatalie's age be "n"Sum of Sasha and Natalie is 31:s + n = 31Twice Natalie is 11 more than Sasha:2n = s + 11We ca solve this equation for s first:s = 2n - 11We put this into first equation and solve for n first:s + n = 312n - 11 + n = 313n = 31 + 113n = 42n = 42/3 = 14Natalie's age is 14Also, s = 2n - 11s = 2(14) - 11s = 28 - 11s = 17Sasha's age is 17