Maharashtra State BoardSSC (English Medium) 9th Standard
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If a B = 7 3 Then Find the Value of the Following Ratio. - Algebra

Sum

If `(a^3 - b^3)/b^3` then find the value of the following  ratio.

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Solution

`a/b = 7/3`
⇒ `a/7 = b/3 = k`
⇒ `a = 7k , b = 3k`

`therefore (a^3 - b^3)/b^3`
= `{(7k)^3 - (3k)^3}/(3k)^3`

= `{343k^3 - 27k^3}/{27k^3}`

= `(316k^3)/(27k^3)`

= `(316)/(27)`

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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.3 | Q 1.3 | Page 70
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