Question

If a+b : a-b = 11:6, find the ratio b:a
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Answer 1

Answer:

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Answer 2

$\sf{\underline{\underline{\large{\bold{Solution}}}}}$

$\sf\longrightarrow a + b : a - b = 11 :6$

$\sf\longrightarrow \dfrac{a+b}{a-b} = \dfrac{11}{6}$

$\sf\longrightarrow 6 ( a + b ) = 11 ( a - b )$

$\sf\longrightarrow 6a + 6b = 11a - 11b$

$\sf\longrightarrow 6b + 11b = 11a - 6a$

$\sf\longrightarrow 17b = 5a$

$\sf\longrightarrow \dfrac{b}{a} = \dfrac{5}{17}$

$\sf\longrightarrow b :a = 5 : 17$

$\sf{\red{\boxed{\bold{\dag b : a = 5 : 17 }}}}$

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$\sf{\bold{\green{\underline{\underline{More\: about \:ratio\:and\: proportion }}}}}$

• Ratio is the simple comparison between 2 quantities using simple division
• Proportion is an expression where 2 ratios are compared and are written as equal .