Pregunta
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Three siblings are born on the same date in consecutive years.
The sum of their ages is 42 . What is the age of the oldest sibling?
A
B 14
© 15
D 16
Victoria chose A as the correct answer. How might she have gotten
that answer?

Ask by Ayala Hobbs. in the United States
Mar 26,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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Victoria likely solved the equation correctly to find that the youngest sibling is 13 years old. However, she forgot to add 2 to this age to find the oldest sibling’s age, which is 15.

Solución

Step 1. Let the ages of the siblings be represented as follows:
Step 2. Their total age is given to be 42, so we write the equation:
Step 3. Combine like terms:
Step 4. Subtract 3 from both sides:
Step 5. Divide both sides by 3:
Step 6. Here, represents the age of the youngest sibling. The oldest sibling’s age is given by
Victoria’s Mistake:
Victoria likely stopped at finding and mistakenly thought that this is the answer to the question. She solved for the youngest sibling’s age but then chose option A (13) without adding 2 to obtain the age of the oldest sibling.

Respondido por UpStudy AI y revisado por un tutor profesional

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Extra Insights

Victoria might have incorrectly thought that the sum of three consecutive ages starting from x would equal 42, so she set up the equation . Simplifying that leads to an equation of , resulting in or . However, she may not have fully understood that with ages 13, 14, and 15, the oldest would actually be 15, not 13.
To clarify, the correct breakdown of ages should have been 13, 14, and 15 since those three add up to 42. Hence, the oldest sibling is actually 15 years old, not 13 as Victoria concluded. It’s an easy mix-up when jumping straight to the numbers without rechecking the total!

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