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Three simple Puzzles in Math

Questions A
What is the 4 digit number -
1 - One of the numbers is 1
2 - The number the hundred's place is 3 times the number in thousand's place
3 - The number in one's place is 4 times the number in the ten's place
4 - Finally he said the number 2 is sitting in the thousand's place.

What is the number? (I have 2,614 or should it be 4.162)

Question B
I have two numbers. Their greatest common factor is 6. The least common multiple is 36. One number is 12.

What is the other number? (I have 6)

Question C
X -> multiply by 308 -> multiply by 0.10 -> divide by 3 = 462

What is X? (I have 45)

Thanks

Solution Preview

(1) Let the number be abcd. [Here, d = units digit, c = tens digit, b = hundreds digit, a = thousands digit]

By data, b = 3a, d = 4c and a = 2

Since a = 2, b = 3(2) = 6

Thus, we know a and b. There are two unknowns c and d.

By data, one of ...

Solution Summary

(1) Let the number be abcd ...
(2) For any two positive numbers a and b, we have the relation ...
(3) Number is x ...

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