Question

Nikki is 5 years older than Jamie. The product of their ages is 126. Which equation could be used to find Nikki’s age, n?

Answer 1

Answer:

126 = n × (n - 5)

Step-by-step explanation:

If Nikki's age is n and she is 5 years older than Jamie, then Jamie is 5 years younger than Nikki's n number of years.

Answer 2

Answer:

Let, Nikki's age is 'n'.

Since, Jamie is 5 years younger than Nikki, let Jamie's age be 'n-5'

According to the question,

The product of their age is 126.

which means,

Nikki's Age × Jamie's age = 126

⇒ n × (n-5) = 126

⇒ n² - 5n = 126

⇒ n² - 5n - 126 = 0

Now you can do the middleterm,

⇒n² - 14n + 9n - 126 =0

⇒ n ( n - 14 ) + 9 (n - 14 ) = 0

⇒ ( n - 14 ) ( n + 9 ) = 0

since n's value can not negative

⇒ ( n - 14 ) = 0

∴ n = 14

Nikki's age is 14

and Jamie's age is 9 years