Find the least no. which is when divided by 12,15 or 20 leaves a remainder 3
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Answers
Answered by
1
Answer:
63
Step-by-step explanation:
It leaves a remainder of 3 and given the number is the same
or, a = 12a + 3
a = 15b + 3
a = 20c + 3
or, a-3 = 12a = 15b = 20c,
this means that "a-3" is actually the L.C.M of 12, 15, 20
12 = 2×2×3 = 2²×3
15 = 3×5
20 = 2×2×5 = 2²×5 or, L.C.M = 2²×3×5= 60
or, "a-3" = 60 or, a= 60+3 = 63
thus, 63 is the least number which when divided by 12, 15, 20 leaves remainder of 3.
ClarieThermopolis:
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Answered by
22
Answer:
- 63
- Answer. thus, 63 is the least number which when divided by 12, 15, 20 leaves remainder of 3.
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