SOLUTION: which two numbers out of these differ by 46 29,17,38,71,35,63,24

Question 1098497: which two numbers out of these differ by 46
29,17,38,71,35,63,24

Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
which two numbers out of these differ by 46
29,17,38,71,35,63,24
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Add 46 to each number, see if the sum is in the list.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
In the set of 7 numbers listed, two of them are even (24 and 38),
and the other 5 numbers are odd.
The difference between two numbers is even (such as 46)
only if both numbers are even or both numbers are odd.
So, let's list the odd numbers in order from smallest to greatest
17
29
35
63
71
We do not need to look at all differences.
We need to find two numbers fairly far appart,
and not all look promising.
You could look at approximate differences,
or you could look at the last digit.
71-35 and 63-17 are the only promising differences,
because 71 and 63 are the only numbers large enough to be 46 more than another number in that list,
and when you calculate the last digit you calculate
11-5=6 and 13-7=6.
71-35=36, but .
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