Question

Mark, Taylor, & Brian's ages are consecutive whole numbers. Mark is the youngest, and Brian is the oldest. The sum of their ages is 111. How old is Mark? A) 34 years old B) 35 years old C) 36 years old D) 37 years old

Answer 1

Answer:

37 years old

Step-by-step explanation:

If we let n represent the first number, then n + 1 is the next consecutive whole number, and n + 2 is the third number in the sequence. n + (n + 1) + (n + 2) = 3n + 3. If we solve the equation 3n + 3 = 111, we find that n = 36. Therefore, Mark is 36 years old, Taylor is 37 years old, and Brian is 38 years old.

Answer 2

Z = y + 1
y = x + 1
x + y + z = 111
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put the system of linear equations into standard form
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y - z = -1
x - y = -1
x + y + z = 111
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = mark = 36
y = taylor = 37
z = brian = 38