Question

Fred is 4 times as old as Nathan and is also 27 years older than Nathan. Let f be Fred's age and let n be Nathan's age. Which system of equations represents this situation?

Answer 1

Here, f represents Fred's age and n represents Nathan's age (in years),

Since Fred is 4 times as old as Nathan,

Thus, f = 4 × n

Also, he/she is 27 years older than Nathan,

That is, f = n + 27

Therefore, the required system of equations would be,

f = 4n, f = n + 27

Where, f > 0 and n > 0. (Age can not be negative or zero).