16. How many numbers lie between 100 and 400 which when divided by 9 leave a remainder 6, and when divided by 21, leave remainder 12 ?
Answers
Answered by
8
Answer : option 2 that is 4.
Step-by-step explanation:
The numbers are 159 222 285 and 348.
Answered by
16
4 numbers lie between 100 and 400 which when divided by 9 leave a remainder 6, and when divided by 21, leave remainder 12
Step-by-step explanation:
9a + 6 = 21b + 12
=> 9a = 21b + 6
=> 3a = 7b + 2
21b + 12 > 100
=> 21 b > 88
=> b > 4
21b + 12 < 400
=> 21b < 388
=> b < 19
3a = 7b + 2
b = 7 a =17
b = 10 a = 24
b = 13 a = 31
b = 16 a = 38
4 numbers ie between 100 and 400 which when divided by 9 leave a remainder 6, and when divided by 21, leave remainder 12
Numbers are = 21b + 12
159 , 222 , 285 , 348
Read More :
How many numbers lie between 100 and 10000
https://brainly.in/question/11625918
On dividing a natural number by 13 the remainder is 3
https://brainly.in/question/9272033
Similar questions