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Question
If 45 is added to half a number, the result is triple the number. Find the number.
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Solution
Let x be the number.
Then, half of the number is `x/2`.
According to the question,
`x/2 + 45 = 3x`
⇒ `(x + 90)/2 = 3x`
⇒ x + 90 = 6x
⇒ `x = 90/5 = 18`
Hence, the number is 18.
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