A ratio 5:9 with sum 28; what are the two numbers?

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Multiple Choice

A ratio 5:9 with sum 28; what are the two numbers?

Explanation:
The idea is to split the total 28 into parts that follow the 5:9 ratio. If the numbers are 5x and 9x, their sum is 5x + 9x = 28, so 14x = 28 and x = 2. That makes the numbers 5x = 10 and 9x = 18. Quick check: 10 + 18 = 28, and 10:18 simplifies to 5:9, which matches the given ratio. Other pairs that sum to 28 won’t have the same 5:9 relationship, so they don’t fit.

The idea is to split the total 28 into parts that follow the 5:9 ratio. If the numbers are 5x and 9x, their sum is 5x + 9x = 28, so 14x = 28 and x = 2. That makes the numbers 5x = 10 and 9x = 18. Quick check: 10 + 18 = 28, and 10:18 simplifies to 5:9, which matches the given ratio. Other pairs that sum to 28 won’t have the same 5:9 relationship, so they don’t fit.

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