# Find the sum of all such integers less than #100#, which leave a remainder #1# when divided by #3# and leave a remainder #2#, when divided by #4#?

##### 1 Answer

Jan 30, 2017

Sum of all such integers less than

#### Explanation:

Integers which leave a remainder

and of these, those which leave a remainder

this is an arithmetic sequence, with first term as

and sum of the arithmetic sequence given by