Question

which of the following ratio is equal to 15:20 ? (i) 5 to 10 (ii) 18:25 (iii) 21 to 28 (iv) 24:30 ​

Answer 1

Answer:

option (iii) is the correct answer

Answer 2

$Given \: ratio \: \pink { 15 : 20 } \\= \frac{15}{20} \\= \frac{ 3 \times 5}{4 \times 5 } \\= \frac{3}{4} \\= \pink {3 : 4}$

$(i) 5 : 10\\ = \frac{5}{10} \\= \frac{1\times 5}{2\times 5} \\= \frac{1}{2} \\= 1 : 2$

$(ii) 18 : 25$

$(iii) \pink { 21 : 28 } \\= \frac{21}{28}\\= \frac{ 3\times 7}{4\times 7}\\= \frac{3}{4}\\= \pink { 3 : 4 }$

$(iv) 24 : 30 \\= \frac{24}{30}\\= \frac{ 4 \times 6 }{ 5 \times 6 } \\= \frac{4}{5} \\= 4 : 5$

Therefore.,

$\pink { 15 : 20 } = \pink { 21 : 28 }$

$Option \pink { ( iii ) } \:is \: correct$

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