Question

a piece of elastic was stretched by 24 to a length of 31 cm find its unstretched original length

Answer 1

Let the original length be x

Percent by which elastic is stretched = 24%

24% of elastic= 24/100× x = 24x/100 = 6x/25

x + 6x/25 = 31

(25x+6x)/25 = 31

31x/25 = 31

31x = 25×31 = 775

x = 775/31 = 25 cm

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Answer 2

Answer:

Step-by-step explanation:

Let the original length be x

Percent by which elastic is stretched = 24%

24% of elastic= 24/100× x = 24x/100 = 6x/25

x + 6x/25 = 31

(25x+6x)/25 = 31

31x/25 = 31

31x = 25×31 = 775

x = 775/31 = 25

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