The difference in Cameron and Avery’s ages is 5. The product of their ages is 104. If Cameron is older, how old is Avery?

Mathematics

1 answer:

iragen [17]2 years ago

5 0

Answer:

Cameron is 13 and Avery is 8 years old

Step-by-step explanation:

Let Cameron's age be x and Avery's age be y.

The difference is 5 and the product is 104:

x - y = 5
xy = 104

Solve by substitution:

x = y + 5

xy = 104
y(y + 5) = 104
y² + 5y - 104 = 0
y = (- 5 ± √(5² + 4*104))/2 = (- 5 ± √441)/2 = ( - 5 ± 21)/2

Taking the positive root as age can't be negative:

y = 8

Find x:

x = 8 + 5 = 13

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