Place the digits 2 , 3 , 4 , 5 , 6 , 7 into the boxes below to obtain the largest sum.
A) 603
B) 1495
C) 1197
D) 1305
E) 1395

Question

Place the digits 2 , 3 , 4 , 5 , 6 , 7 into the boxes below to obtain the largest sum. ​ 
A) 603 
B) 1495 
C) 1197 
D) 1305 
E) 1395

Quizplus · Accepted Answer

To obtain the largest sum, we want to place the largest possible digits in the leftmost boxes. Therefore, we put 7 and 6 in the first two boxes. We want to maximize the sum of the two digits in the third box, so we place 5 next to the 6. In the fourth box, we want to maximize the sum of the digits in the last two boxes, so we put 4 next to the 7. Finally, we place 3 in the last box. The sum of these digits is 7+6+5+4+3+2=27. Therefore, the answer is E.

Place the Digits 2 , 3 , 4 , 5