Question

a board was cut into two pieces whose length are in the ratio 2.5 the longest piece was 85 inch how long was the shortest piece...... please answer fast. spamming will be reported...​

Answer 1

Answer:

Firstly, let's mark the shorter piece as 3x and the longer piece 5x as we don't know the exact lengths but only the ratios.

We know that the longer piece is longer than the shorter one by 4cm. Or we can say that if you lenghten the shorter piece by 4cm, you will have the both pieces equal so we can say that 3x+4=5x. Now let's solve it.

3x+4=5x

5x-3x=4

2x=4

x=2

Now the short piece is 3x , so 3*2=6(cm) and the long one is 5*2=10(cm)

Answer 2

The ratio of length of longer piece and small piece is 2:5

The ratio of length of longer piece and small piece is 2:5 Let the length be x

The ratio of length of longer piece and small piece is 2:5 Let the length be xTherefore 2x and 5x

$5x = 85 \: inch</strong></p><p><strong>[tex]5x = 85 \: inch \\ x = \frac{85}{5} </strong></p><p><strong>[tex]5x = 85 \: inch \\ x = \frac{85}{5} \\ x = 17</strong></p><p><strong>[tex]5x = 85 \: inch \\ x = \frac{85}{5} \\ x = 17$

Therefore 2x

Therefore 2x = 2(x)

Therefore 2x = 2(x)= 2(17)

Therefore 2x = 2(x)= 2(17)= 34 inch

Hope it helps......

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