If the ratio of the ages of two siblings is 4:3 and the older sibling is 16 years old, how old is the younger sibling?
["Understanding Age Ratios: Solving for a Younger Sibling’s Age", "When it comes to family relationships and math, age ratios offer a clear, logical way to determine missing values. One common scenario is when the ages of two siblings are known in a specific ratio, such as 4:3, and one sibling’s age is given. In this article, we’ll explore how to find the younger sibling’s age using the known ratio and one age input — specifically, when the older sibling is 16 years old.", "### The Ratio 4:3 Explained", "A ratio of 4:3 means that for every 4 parts representing the older sibling’s age, the younger sibling’s age corresponds to 3 parts. This ratio preserves proportional consistency, making it easy to calculate exact ages based on a reference value.", "### Given Information", "- Older sibling’s age = 16 years\n- Age ratio = 4 (older) : 3 (younger)", "Let’s define the relationship mathematically. If 4 parts represent the older sibling’s age (16), then each part equals:", "[\n\ ext{1 part} = \frac{16}{4} = 4 \ ext{ years}\n]", "Since the younger sibling’s age is 3 parts:", "[\n\ ext{Younger sibling’s age} = 3 \ imes 4 = 12 \ ext{ years}\n]", "### Conclusion", "The younger sibling is 12 years old. This simple proportion calculation highlights how ratios simplify age-related problems and help families or students quickly solve for missing ages in structured scenarios.", "If you often encounter ratio-based problems like this, remember: divide the known older sibling’s age by the ratio numerator (4), scale by the ratio’s shorter number (3), and you’ll find the accurate younger sibling’s age.", "---", "Keywords: sibling age ratio, how old is younger sibling, age ratio calculation 4:3, solving sibling ages by ratio, relative age problem, 16 to younger sibling age, ratio math problem, family age puzzle", "Meta Description: Solve age ratio problems quickly: if siblings’ ages are in a 4:3 ratio and the older is 16, the younger sibling is 12. Learn how to apply simple proportional reasoning."]
