Question

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

Answer 1

Hi there!
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HCF OF 210 & 55 :

210 = 55 × 3 + 45

55 = 45 × 1 + 10

45 = 10 × 4 + 5

10 = 5 × 2 + 0

■ Therefore, HCF = 5

Now, 5 = 210 × 5 + 55y

》 5 / 5 = 210 + 55y

》 1 - 210 = 55y

》 209 / 55 = y

■ Ans. y = 3.8
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I hope this helps.