CBSE Class 10 Answered
Find the HCF of 210 and 55 .If the HCF is expressible in the form of 210m + 55n . find m and n?
Asked by dilwalevk143 | 07 Jan, 2019, 01:02: PM
Expert Answer
Here 210>55
210 = 55 × 3 + 45
55 = 45 × 1 + 10
45 = 10 × 4 + 5 ....(i)
10 = 5 × 2 + 0
HCF(55, 210) = 5
From (i),
45 = 10 × 4 + 5
5 = 45 - 10 × 4
5 = 45 - (55 - 45)× 4
5 = 45 - 55 × 4 + 45 × 4
5 = 45 × 5 - 55 × 4
5 = (210 - 55 × 3) × 5 - 55 × 4
5 = 210 × 5 - 55 × 15 - 55 × 4
5 = 210 × 5 - 55 × 19 ...(ii)
Given that:
5 = 210m + 55n ...(iii)
From (ii) and (iii)
m = 5 and n = -19
Answered by Yasmeen Khan | 07 Jan, 2019, 01:40: PM
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