Question 1194063
c = carla's age.
j = julie's age.
c = j + 5
c * j = 234
replace c with j + 5 to get:
(j + 5) * j = 234
simplify to get:
j^2 + 5j = 234
subtract 234 from both sides to get:
j^2 + 5j - 234 = 0
factor this quadratic equation to get (j + 18) * (j-13) = 0
solve for j to get:
j = -18 or j = 13
j can't be negative, so j = 13
c = j + 5 = 18
carla is 18 years old
julie is 13.
13 * 18 = 234
solution is confirmed to be good.