itssmookie9673 itssmookie9673
  • 12-02-2021
  • Mathematics
contestada

A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the length of the shorter string.

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tutorAnne
tutorAnne tutorAnne
  • 15-02-2021

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x  since thery are in the ratio of 2 :7

 Such that Length of the shorter string = 2x

and the longer string = 7x  so that  the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm  

       

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