Find the least 3 digit number which when divided by 20, 30, 40 and 50 leaves a remainder 10 in each case
Answers
Answered by
3
Hey!!Mate
Here is your ans:-
Step-by-step explanation:
Find the least three digit number which when divided by 20, 30, 40 and 50 leaves remainder 10 in each case. ∴ Required number = 600 + 10 = 610. Hence, the least three digit number which when divided by 20, 30, 40 and 50 leaves remainder 10 in each case is 610.
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Answered by
1
Answer:
610
Step-by-step explanation:
Let us first factorize the given numbers as shown below:
20=1×2×2×5=2
2
×5
1
30=1×2×3×5=2
1
×3
1
×5
1
40=1×2×2×2×5=2
3
×5
1
50=1×2×5×5=2
1
×5
2
LCM of 20,30,40 and 50=2
3
×3
1
×5
2
=600
Therefore, the required number is 600+10=610.
Hence, the least three-digit number which when divided by 20,30,40 and 50 leaves remainder 10 in each case is 610.
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