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Find two consecutive positive odd integers such that three times the sum of the largest number plus 22 is equal to the product of both numbers. ​

User Jason Fox
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Answer:

Explanation:

Let's say your consecutive numbers are A and B with A+2=B. Using the information we have been given, we can get the linear equation; AB=3B+22. A=B-2, so we can replace A with B-2 to get (B-2)(B)=3(B+22). Multiplying this out, we get B^2-2B=3B+66. Simplifying, we get B^2-5B-66=0. This is a quadratic equation. Using the quadratic formula, we get B=11,-6. B has to be positive, so B=11. A+2=11, so A=9

User Timathon
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