Question

question is on the photo


please help​

Answer 1

Answer:

c) 14:21:6

42×1/3 :42× 1/2:42×1/7

14:21:6

Answer 2

Answer:

c) 14 : 21 : 6 is the right answer

Explanation:

• Given :

x : y : z = 3 : 2 : 7

• To Find :

$\frac{1}{x} : \frac{1}{y} : \frac{1}{z}$

• Solution :

x : y : z = 3 : 2 : 7

Reciprocating the given proportional, we get,

=> $\frac{1}{x} : \frac{1}{y} : \frac{1}{z} = \frac{1}{3} :\frac{1}{2} :\frac{1}{7}$

Now, to find the numerator let us find out the LCM of 3, 2 and 7 numbers

As, all 3 are prime numbers, LCM will be the product of 3 numbers

LCM = 3 × 2 × 7

=> LCM = 42

So, multiplying 42 to all over the equation, we get,

$\frac{1}{x} : \frac{1}{y} : \frac{1}{z} = \frac{42}{3} :\frac{42}{2} :\frac{42}{7} \\\\=> \frac{1}{x} : \frac{1}{y} : \frac{1}{z} = 14 : 21 : 6$

$\boxed {\textsf { Hence the answer is 14 : 21 : 6}}$

Hope it helps

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