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Mara is $m$ years old, and her younger brother Kyle is $k$ years old. If Mara is $3$ years older than Kyle, which of the following correctly expresses $k$ in terms of $m$ ?

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Least common multiple

Full solution

Q. Mara is

m

years old, and her younger brother Kyle is

k

years old. If Mara is

3

years older than Kyle, which of the following correctly expresses

k

in terms of

m

?

Write Relationship Equation: Given that Mara is $m$ years old and she is $3$ years older than Kyle, we can write the relationship between their ages as: $\newline$ $m = k + 3$ $\newline$ To find the value of $k$ in terms of $m$ , we need to isolate $k$ on one side of the equation.
Isolate $k$ : Subtract $3$ from both sides of the equation to solve for $k$ : $m - 3 = k + 3 - 3$ This simplifies to: $m - 3 = k$
Subtract $3$ : We have now expressed $k$ in terms of $m$ . The equation $m - 3 = k$ shows Kyle's age in terms of Mara's age.

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