Question

Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario:

x = 4y
x = 8 + 2y

How many years has each person been employed by the company?

Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
Nikhil has been with the company for 24 years, while Mae has been there for 6 years.
Nikhil has been with the company for 20 years, while Mae has been there for 5 years.
Nikhil has been with the company for 12 years, while Mae has been there for 3 years.

Answer 1

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Answer 2

1) Nikhil 16 years & Mae 4 years

Explanation:

x = 4y {equation 1}

Hence, x - 4y = 0 { equation 2}

x = 8 + 2y {equation 3}

Then, x - 2y = 8 { equation 4}

{equation 4-2}

x -x -2y - ( - 4y) = 8 -0

-2y +4y = 8

2y = 8

2 2

y = 4

By substituting { equation 1}

x = 4y

x = 4 × 4

= 16//