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  • 17-08-2019
  • Mathematics
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What is the difference between the sums of the 20 largest and 20 smallest two-digit numbers?​

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  • 18-08-2019

Answer:

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....

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