Question 1132913
s = age of sonya
a = age of alice


total age is 60, therefore s + a = 60


alice is half as old as sonya, therefore a = 1/2 * s


replace a with 1/2 * s in the equation of s + a = 60 to get s + 1/2 * s = 60.


combine like terms to get 3/2 * s = 60


solve for s to get s = 2/3 * 60 = 40


s = 40


a is half of s, therefore 20


40 + 20 = 60


solution looks good.


solution is that sonya is 40 and alice is 20.