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Question 1. Asked on :24 June 2021:06:10:31 PM

If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y then find y.

-Added by Master Mind Mathematics » Real Numbers

Answer:

Master Mind
HCF of 210 and 55 using Euclid's division algorithem

210 = 55 × 3 + 45

  55 = 45 × 1 + 10 

  45 = 10 × 4 + 5

  10 = 5 × 2 + 0 

∴ HCF = 5 

Now 210 × 5 + 55y = 5 

       1050 + 55y = 5 

                   55y = 5 - 1050 

                   55y = - 1045       

                      y = - 104555 = - 19 

y = - 19 


-Answered by Master Mind On 24 June 2021:06:15:15 PM(21392Average Rating Based on rating)

 

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