Pairing the digits
Algebra
Level
4
All the the ten digits 0,1,2,3,4,5,6,7,8,9 are friends with each other. They all decide to play a game together. The game is in pairs so they all pair up and thus form 5 two digit numbers.
Find the maximum possible sum of these 5 two digit numbers.
The answer is 360.
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1 solution
To maximize the sum, the ones must be minimized, made up from 0 up to 4 so that the tens can be maxed.
answer
= (5+6+7+8+9)*10 + (0+1+2+3+4)
= 350 + 10
= 360