Question

A 105-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.

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Answer 1

`the \: length \: of \: the \: shorter \: piece = 10.5 - inch`

Explanation:

`let \: the \: two \: numbers \: be : \\ x \: and \: y \\ x + y = (105)/(2) \\ 2(x + y) = 105 \\ if \: x \: = 4y \: \: then \\ 2(4y + y) = 105 \\ 10y = 105 \\ y = (105)/(10) \\ y = 10.5`