Each of the digits 0,1,2,3,4,5,6,7,8 and 9 is used only once to make two five digit numbers so that they have the largest possible sum.Which of the following could be one of the numbers?
1.76531
2.86724
3.87431
4.97403

Dear Student,

Please find below the solution to the asked query:

In order to maximise the sum of the numbers, the numbers must have their digits ordered in decreasing value. There are only two numbers from the answer choices with this property: 76531  ( Option 1 ) and 87431 ( Option 3 ) .

And to determine the answer we will have to use estimation and the first two digits of the numbers , As :

Case I : For 76531 the number that would maximise the sum would start with 98. The first two digits of 76531 (when rounded) are 77. 

Then ,

98 + 77 = 175 , Here we find that the first three digits of the sum of the two numbers would be 175.

Case II : For 87431 the number that would maximise the sum would start with 96. The first two digits of 87431 (when rounded) are 87.

Then,

96 + 87 = 183, we find that the first three digits of the sum of the two numbers would be 183.

As :  183 >  175

So,

From the estimations, we can say that the answer to this problem is 87431 .

Therefore,

Option ( 3 )                                                                                                 ( Ans )


Hope this information will clear your doubts about topic.

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