The ratio between two consecutive natural numbers (in ascending order) is reversed if seven is added to the first number and four is added to the second number. The sum of the two consecutive…
Question and options
The ratio between two consecutive natural numbers (in ascending order) is reversed if seven is added to the first number and four is added to the second number. The sum of the two consecutive numbers is _______.
- 11
- 15
- 9
- 13
Answer and explanation
Correct answer: A - 11
Let the numbers be n and n+1. (n+7)/(n+5) = (n+1)/n gives n^2+7n = n^2+6n+5, so n = 5. The numbers are 5 and 6, and their sum is 11.
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