Please help ASAP: What is the least natural number that is greater than 10 and has a remainder of 5 when divided by 6, has a remainder of 5 when divided by 9. and has a remainder of 5 when divided by 12?
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0
Answer:
It has no answer. I can not tell answer sorry
Answered by
0
Answer:
41
Step-by-step explanation:
To find the least number Greater than 10, which when divided by 6, 9 and 12 leaves a remainder of 5 in each case,
First,
We need to find the LCM of 6, 9 and 12
Prime Factorization of 6 = 2×3
Prime Factorization of 9 = 3×3
Prime Factorization of 12 = 2×2×3
LCM = 3×2×3×2
= 36
Secondly,
We must add the remainder (5) to the LCM.
=36+5
=41
Therefore, 41 is our answer.
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