Question

2. Find the value of x in each of the following proportions 2. C. 35:x10:6 d. x:20::4:40 a. x:14::2:4 b. 12:4::x:3​

Answer 1

Answer:

Solution:

(i) x : 4 = 6 : 8

\Rightarrow x\ \times8=4\times6

\Rightarrow x=\frac{4\times6}{8}=3

(ii) 14 : x = 7 : 9

\Rightarrow x\times7=14\times9

\Rightarrow x\ =\frac{14\times9}{7}=18

(iii) 4 : 6 = x : 18

\Rightarrow6\times x=4\times18

\Rightarrow\ x=\frac{4\times18}{6}=12

(iv) 8 : 10 = x : 25

\Rightarrow\ 10\times x=25\times8

\Rightarrow x=\frac{25\times8}{10}=20

(v) 5 : 15 = 4 : x

\Rightarrow\ 5\times x=15\times4

\Rightarrow x=\frac{15\times4}{5}=12

(vi) 16 : 24 = 6 : x

\Rightarrow\ 16\times x=24\times6

\Rightarrow\ x=\frac{24\times6}{16}=9

Step-by-step explanation:

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