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If $1 a : 1 b : 1 c = 3 : 4 : 5,$ then what is a: b: c?

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5: 4: 3

20: 15: 12

9: 12: 15

12: 15: 20

answer is B.

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Detailed Solution

Given,

1 a : 1 b : 1 c = 3 : 4 : 5

Applying cross multiplication, we get,

1 a : 1 b : 1 c = 3 : 4 : 5

⇒ 1 a : 1 b = 3 : 4 ⇒ 1 a ÷ 1 b = 34 ⇒ 1 a × b 1 = 34 ⇒ b a = 34

Reciprocating the values, we get,

Now,

Reciprocating the values, we get,

Making the value of b as equal,
Question Image

⇒ a b = 2015 and b c = 1512

⇒ a : b = 20 : 15

and

b : c = 15 : 12

⇒ a : b : c = 20 : 15 : 12

.
Thus, if

1 a : 1 b : 1 c = 3 : 4 : 5

, then

a : b : c = 20 : 15 : 12

..
Therefore, option 2 is correct.

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