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

Question

asked Oct 9, 2020 83.3k views

1 Answer

Ruben Daniels · Answer 1 · 2020-10-15T03:37:54+0000

Answer:

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

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....