how many 3 digit no leave remainder 4 when divided by 5
Answers
the thing one intends to convey especially by language : purport Do not mistake my meaning. b : the thing that is conveyed especially by language : import Many words have more than one meaning. 2 : something meant or intended : aim a mischievous meaning was apparent.
Answer:
Every 3 digit numbers ending with 5 or 0 are divisible by 5. But not divisible by 5 and specifically leaving a remainder 4 indicates 3 digit numbers ending with 4 and 9. So the first 3 digit number of this category is 104 then 109,114,119 ……999. It is easy to see there 20 such numbers in each 100 numbers. Then for 900 numbers (999 -99) total such numbers will be 20*9 = 180 . Hence Sum
S = n/2{ 2*a+(n -1) *b} , here a = 104, common difference b = 109–104 = 5 , number of terms n = 180 , So,
S = (180/2){ 2*104 + (180 -1)*5}
= 90* {208 + 179 *5}
= 99,270
Step-by-step explanation:
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