What is the difference between the sums of the 20 largest and 20 smallest two-digit numbers?

Question

Malia Reed

Mathematics

1 January, 10:31

What is the difference between the sums of the 20 largest and 20 smallest two-digit numbers?

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Answers (1)

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Baron · Answer 1

The difference between the sums of the 20 largest and 20 smallest two-digit numbers is 1400

Step-by-step explanation:

20 largest two digit numbers are:

(80+81+82+83+84, ...,+99)

20 smallest two digit numbers are:

(10+11+12+13+14, ...,+29)

Now we have to find the difference between the sums of the 20 largest and 20 smallest two-digit numbers

= (80+81+82+83+84, ...,+99) - (10+11+12+13+14, ...,+29)

= 1790 - 390

= 1400

Thus the difference between the sums of the 20 largest and 20 smallest two-digit numbers is 1400 ...