# Relation between the following numbers

If:

$$4+2=6$$

$$2+8=26$$

$$5+8=109$$

$$7+4=225$$

Find $$8+6=?$$

• Can we add a counter here for hours wasted? – Biscuits Apr 2 at 23:05
• Can you consider giving a hint? It's been nearly a week since you first posted your question, yet no one has solved it. – Toby Mak Apr 8 at 11:58

31

Because:

Assuming that every digit left of the '=' operator is a symbolic representation of a value, then we would have:
'4' -> 4
'2' -> 2
'6' -> 6
'8' -> 24
'5' -> 85
'7' -> 221
then '8'+'6' (symbolically) would become 24+6 (numerically), therefore '8'+'6' = 30
If this is the key, then there would be several alternative solutions, because we could assign different values to the '4' and '2' symbols, like
'4' -> 5
'2' -> 1
'6' -> 6
'8' -> 25
'8'+'6' = 25+6 = 31
Actually I hope to be wrong, because this would be a very inelegant solution :)

• we wouldn't have '6' -> 6, as it is never on the left. (except for the final question.) – David G. Apr 3 at 0:00