Question

if g.c.d ( 24 , 20 ) = 3x + 1 , find x

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Answer 1

Step-by-step explanation:

G.C.D of 20 and 24

20=2×2×5 [prime factorisation]

24=2×2×2×3

G.C.D= multiplying all prime factors common to each other [only multiply then common number, not whole number]

=2×2 [no other numbers are common]

G.C.D=4

4=3x+1

3x=4−1

3x=3

x=1