Answer:
Laura = 14 Years
Juan = 21 years
Step-by-step explanation:
Let :
Laura's age = x
Juan's = x + 7
Product of their ages = (x) * (x + 7) = 294
x² + 7x = 294
x² + 7x - 294 = 0
x² + 21x - 14x - 294 = 0
x(x + 21) - 14(x + 21) = 0
(x + 21) = 0 or (x - 14) = 0
x = - 21 or x = 14
Age can't be negative
Hence, x = 14
Laura = 14 years
Juan = 14 + 7 = 21 = 21 years
