Juan es siete años mayor que Laura. El producto de sus edades es 294 años. ¿Que edad tiene cada uno

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

a - base

b - exponent

so,