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Kadeesha is older than Cameron. Their ages are consecutive integers. Find Kadeesha's age if the sum of Kadeesha's age and 3 times Cameron's age is 17.
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Kadeesha is older than Cameron. Their ages are consecutive integers. Find Kadeesha's age if the sum of Kadeesha's age and $3$ times Cameron's age is $17$ . $\newline$ Answer:

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Experimental probability

Full solution

Q. Kadeesha is older than Cameron. Their ages are consecutive integers. Find Kadeesha's age if the sum of Kadeesha's age and

3

times Cameron's age is

17

.

\newline

Answer:

Define Ages: Let's denote Kadeesha's age as $K$ and Cameron's age as $C$ . Since their ages are consecutive integers, we can express Kadeesha's age as $K = C + 1$ .
Write Equation: The problem states that the sum of Kadeesha's age and $3$ times Cameron's age is $17$ . We can write this as an equation: $K + 3C = 17$ .
Substitute Expression: Substitute the expression for $K$ from step $1$ into the equation from step $2$ : $(C + 1) + 3C = 17$ .
Combine Like Terms: Combine like terms: $4C + 1 = 17$ .
Isolate Term: Subtract $1$ from both sides to isolate the term with $C$ : $4C = 17 - 1$ .
Perform Subtraction: Perform the subtraction: $4C = 16$ .
Solve for C: Divide both sides by $4$ to solve for C: $C = \frac{16}{4}$ .
Find Kadeesha's Age: Perform the division: $C = 4$ . So, Cameron is $4$ years old.
Perform Addition: Now, use the relationship between K and C to find Kadeesha's age: $K = C + 1 = 4 + 1$ .
Perform Addition: Now, use the relationship between $K$ and $C$ to find Kadeesha's age: $K = C + 1 = 4 + 1$ .Perform the addition: $K = 5$ . So, Kadeesha is $5$ years old.

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