mariana is the youngest of four siblings whose ages are consecutive integers. if the sum of their ages is…
mariana is the youngest of four siblings whose ages are consecutive integers. if the sum of their ages is 86, find marianas age.
Answer
Explanation:
Step1: Let Mariana's age be $x$.
Since their ages are consecutive integers, the ages of the other three siblings are $x + 1$, $x+2$, and $x + 3$.
Step2: Set up an equation based on the sum of their ages.
The sum of their ages is $x+(x + 1)+(x+2)+(x + 3)=86$. Simplify the left - hand side: $4x+6 = 86$.
Step3: Solve the equation for $x$.
Subtract 6 from both sides: $4x=86 - 6=80$. Divide both sides by 4: $x=\frac{80}{4}=20$.
Answer:
20