Question

8. Find the smallest number which when divided by 25, 45, 55 leaves the remainders 12, 17 and 27
respectively.
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Answer 1

Answer:

364

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Step-by-step explanation:

• the smallest number indicates that we need to find the LCM.
• leave the respective remainders suggests that we need to find the LCM of the numbers after subtracting 12, 17 and 27  from them respectively.

first, we subtract.

25 - 12 = 13

45 - 17 = 28

55 - 27 = 28

to find the LCM, we just have to multiply the numbers because 13 is a prime number, and 28 is not divisible by 13.

so, LCM = 13 x 28 = 364