Question

If 2 1/2 :x=7 1/2:18,then x is

Answer 1

Answer:

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Answer 2

Answer:

Required value of x is 6.

Step-by-step explanation:

Given,

$2 \frac{1}{2} \ratio \: x = 7 \frac{1}{2} \ratio \: 18$

$2 \frac{1}{2} \\ = \frac{2 \times 2 + 1}{2} \\ = \frac{5}{2}$

and

$7 \frac{1}{2} \\ = \frac{7 \times 2 + 1}{2} \\ = \frac{14 + 1}{2} \\ = \frac{15}{2}$

Now,

$2 \frac{1}{2} \ratio \: x = 7 \frac{1}{2} \ratio \: 18 \\ \frac{5}{2} \ratio \: x = \frac{15}{2} \ratio \: 18$

We know,

$a \ratio \: b = \frac{a}{b}$

For example,

$3 \ratio \: 4 = \frac{3}{4} \\ 5\ratio \: 12= \frac{5}{12} \\ 50\ratio \: 13 = \frac{50}{13} \\ 75 \ratio \: 100 = \frac{75}{100} = \frac{3}{4}$

So,

$\frac{5}{2} \ratio \: x = \frac{15}{2} \ratio \: 18 \\ \frac{ \frac{5}{2} }{x} = \frac{ \frac{15}{2} }{18} \\ \frac{5}{2 \times x} = \frac{15}{2 \times 18} \\ \frac{5}{2x} = \frac{5}{12} \\ \frac{1}{x} = \frac{1}{6} \\ x = 6$

Required value of x is 6.

This is a problem of ratio.

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