Question

a piece of string is cut into two parts in the ratio 2 : 3 . if the length of the shorter piece is 25 cm, find the length of the longer piece

Answer 1

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Here is your answer

Ratio of parts = 2 : 3

Length of the pieces are 2x and 3x

ATQ
$2x = 25 \\ x = \frac{25}{2} \\ x = 12.5$
Therefore longer length is = 12.5 × 3
= 37.5 cm

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Answer 2

Hi friends

Here is your answer

Let the string parts are 2x and 3x

$2x = 25 \\ x = \frac{25}{2} \\ x = 12.5$
Now the length of longer piece is
$= 3 \times 12.5 \\ = 37.5$
Hope it helps you

@ MSD