Math, asked by Nickywatson2004, 7 months ago

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?

Answers

Answered by aithimouleendra
5

Answer:

Step-by-step explanation:

the difference between their ages=5

product of their ages=x(x+5)=104=x²+5x-104=0

                                                      =x²13x-8x-104=0

                                                      =x(x-13)-8(x-13)=0

                                                      =>x=13 or x=8

the Age of Cameron is 13 and Age of Avery is 8

Answered by tyrbylent
1

Answer:

Cameron is 13 years old ; Avery is 8 years old

Step-by-step explanation:

c - a = 5 ⇒ c = 5 + a

ca = 104

(5 + a)a = 104 ⇔ a² + 5a - 104 = 0

D = 25 - 4(- 104) = 441 = 21²

a_{1} = \frac{-5+21}{2} = 8 years old

a_{2} = \frac{- 5 - 21}{2} < 0 (N/A)

c(8) = 104 ⇒ c = 13 years old

Cameron is 13 years old

Avery is 8 years old

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