Login/Sign Up
Home » Find the sub – duplicate ratio of the following:(i) (ii)
Find the sub – duplicate ratio of the following:(i) {{x}^{6}}:{{y}^{4}}(ii) 63{{m}^{2}}:28{{n}^{2}}
Class 10 | Frank | Guides | ICSE | Maths | Ratio and Proportion
Find the sub – duplicate ratio of the following:(i) {{x}^{6}}:{{y}^{4}}(ii) 63{{m}^{2}}:28{{n}^{2}}

The ratio is used for comparing two quantities of the sane kind.

The ratio formula for two numbers says a and b is given by a:b or a/b. When two or more such ratios are equal, they are said to be in proportion.

The concept of ratio and proportion is majorly based on ratios and fractions.  

Solution:

Given, {{x}^{6}}:{{y}^{4}}

={{\sqrt{x}}^{6}}:{{\sqrt{y}}^{4}}

={{\left( {{x}^{6}} \right)}^{1/2}}:{{\left( {{y}^{4}} \right)}^{1/2}}

={{x}^{3}}:{{y}^{2}}

Therefore, sub – duplicate ratio is {{x}^{3}}:{{y}^{2}}

Solution:

Given,

63{{m}^{2}}:28{{n}^{2}}

=\sqrt{{{\left( 63m \right)}^{2}}}:{{\sqrt{\left( 28 \right)}}^{2}}

=3\sqrt{7}m:2\sqrt{7}n

=3m:2n

Therefore, sub – duplicate ratio is 3m:2n

i

More Material