Suppose the smaller number is x.
Then the larger number is 4x.
Their difference is 4x - x = 3x
So, 3x = 27 which gives x = 9
and then 4x = 4-9 = 36
So the numbers are 9 and 36.
(Actually, the pair -9 and -36 are also a solution.)
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To find the larger number, we can add the difference of 12 to the smaller number of 17. This gives us 17 + 12 = 29. Therefore, the larger number is 29.
The difference is ten times the number.
The smaller number is a factor of the larger number, and the larger number is a multiple of the smaller.
The idea is to subtract the larger number minus the smaller number.
The number you get when you subtract a number from another number.