SOLUTION: Find two consecutive odd integers such that three-fourths of the larger number is 5 more than one-fourth of the smaller number. Find the numbers.

Question 785464: Find two consecutive odd integers such that three-fourths of the larger number is 5 more than one-fourth of the smaller number. Find the numbers.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I do not care that if two numbers in a problem are both odd or both even. Either way the difference between the numbers would be 2.
I just find pairs of numbers, both odd or both even, that satisfy the conditions of the problem.
If the solution found does not match the parity (odd or even) required by the problem, then there is no solution to the problem. (That could happen in a real life problem, but math class problems bear little resemblance to real life, so if I find only even solutions here I will recheck my calculations)
= the smaller odd integer
= the next (larger) odd integer

What the problem says in words translates as
or
Multiplying times 4 to eliminate denominators, we get

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My solution has odd numbers, so it is a valid solution.
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