What is the only solution to 1/x + 1/y = 1/123 where x < y?
You could go for 3 / (3)(123) which would be
written as 1 / 369 + 2 / 369 = 3 / 369 = 1 / 123
but I don't guarantee that it's the only solution.
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I made a conversion mentally that I now feel I should have shown explicitly.
The problem asks for 1/x + 1/y = 1/123 with x < y
I submitted 1/369 + 2/369 = 3/369 = 1/123
For clarity, there should have been a step before that.
1/369 + 1/184.5
Stated thus, the x and y positions are reversed.
Pedantically, I admit I should not have done that.
I just thought the equation looked nicer as 1, 2, 3.
x = 184.5 and y = 369 note that x < y
check answer
1/x + 1/y = 1/123
1/184.5 + 1/369 =? 1/123
2/369 + 1/369 = 3/369 = 1/123 True
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