If $a:e=5:12,e:i=8:3$ and $i:u=9:16$then find $a:u$ - Noon Academy

If $a:e=5:12,e:i=8:3$ and $i:u=9:16$ then find $a:u$

Class 10 | Frank | ICSE | Maths | Ratio and Proportion

If $a:e=5:12,e:i=8:3$ and $i:u=9:16$ then find $a:u$

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.

From the question it is given that, $a:e=5:12,e:i=8:3$ and $i:u=9:16$

So, $a/e=5/12$

$e/i=8/3$

$i/u=9/16$

$\left( a/e \right)\times \left( i/u \right)=\left( 5/12 \right)\times \left( 8/3 \right)\times \left( 9/16 \right)$

By simplification we get,

$a/u=10/16$

$a/u=5/8$

Therefore, the value of $a:u=5:8$

i

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