Question

what is the difference between the sum of all three digit numbers that leave remainder 3 when divided by 4 and sum of all 4 digit numbers that leave remainder 4 when divided by 7?

Answer 1

Answer:

The least three digit number is 100

100 is divisible by 5

First term = 103

Second term = 108

Third term = 113; and so on

The greatest three digit number = 999

If we divided 999 by 5,

then we get 4 as the remainder.

Last term = 998 [We want the remainder 3]

Let the nth term of the progression be 998

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