What is the least number which when divided by 16, 18, 20 and 25 leaves 4 a the remainder in each case but when divided by 7 leaves no remainder
please explain
Answers
Answered by
1
answer
18004
explanation
LCM of 16, 18, 20, 25 = 2×5×2×5×3×3×2×2
= 3600
As in each case the reminder is 4 we, add 4 to
3600 to get 3604 . but it is not divisible by 7 .
so , we can write the number as 3600k+4
when k = 2,
3600×2+4 = 7204
which is not divisible by 7
then k = 3
3600×3+4 = 10804
not divisible by 7
k= 4
3600×4+4 = 14404
not divisible by 7
k= 5
3600×5+5 = 18004
which is divisible by 7.
so, 18004 is the least number which is divisible by 16,18,20,25 and leaves 4 as remainder and is divisible by 7.
magma35:
Thank you
Similar questions
Social Sciences,
6 months ago
Social Sciences,
6 months ago
Geography,
11 months ago
Chemistry,
1 year ago
Math,
1 year ago