Let x be the least number which when divided by 8, 12, 20, 28, 35 leaves a remainder 5 in each case. What is the sum of digits of x ?
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Answered by
12
The sum of digits of the obtained number is 17.
Step-by-step explanation:
Assume that when we divide a number x by 8, 12, 20, 28 and 35, then every time we will get a remainder 5.
Therefore, when we add 5 to the least common multiple of 8, 12, 20, 28, and 35 then we will get the number x.
Now, making L.C.M, we get the least common multiple of 8, 12, 20, 28, and 35 will be 840.
Therefore, the required number we will get is x = (840 + 5) = 845.
Hence, the sum of digits of the obtained number is (8 + 4 + 5) = 17 (Answer)
Answered by
3
Answer: We have to find the LCM of 8,12,20,28,35 which is =840
We have to subtract 5 from the LCM= 845
The sum of digits =8+4+5=7
Hence 7 is the right answer
Step-by-step explanation:
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