if-4a-7b-2c-and-dcm-a-b-c-3-find-a-b-c-

Question Number 146470 by mathdanisur last updated on 13/Jul/21

i f 4 a = 7 b = 2 c a n d d c m (a; b; c) = 3

f i n d a + b + c = ?

Answered by Rasheed.Sindhi last updated on 13/Jul/21

i f 4 a = 7 b = 2 c a n d g c d (a, b, c) = 3

a + b + c = ?

a = \frac{1}{2} c, b = \frac{2}{7} c

∵ a, b, c \in N

∴ 2 ∣ c & 7 ∣ c

A l s o g c d (a, b, c) = 3

∴ 3 ∣ c

c = 2 \times 3 \times 7 = 42

a = 21

b = 12

a + b + c = 21 + 12 + 42 = 75

V e r i f i c a t i o n :

4 (21) = 7 (12) = 2 (42) = 84

g c d (21, 12, 42) = 3

Commented by mathdanisur last updated on 13/Jul/21

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