Grade 1010 grade maths
Find the hcfof 210 and 55 and express as a linear combination
1 Answer
Arun
HCF of 210 & 55
210 = 55* 3 + 45 ….....(i)
55 = 45 * 1 +10 ….........(ii)
45 = 10 *4 +5 …...........(iii)
10 = 5 *2 + 0
hence HCF of 210 & 55 = 5
now from (iii), we get
4 5 = 10 *4 + 5
so
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
5 = 210 x + 55 y
where x = 5, y = –19
Other Related Questions on 10 grade maths
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)
10 grade maths
Last Activity: 1 Year ago
The smallest composite number is ______.
(a) 2
(b) 4
(c) 1
(d) None of these
The smallest composite number is ______.
(a) 2
(b) 4
(c) 1
(d) None of these
10 grade maths
Last Activity: 1 Year ago
Find the arithmetic mean of the first ten odd natural numbers.
Find the arithmetic mean of the first ten odd natural numbers.
10 grade maths
Last Activity: 1 Year ago