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Question
If (a + b) : (a – b) = 13 : 3 ; a : b is ______.
Options
`13/3`
`3/13`
`5/8`
`8/5`
Solution
If (a + b) : (a – b) = 13 : 3 ; a : b is `underlinebb(8/5)`.
Explanation:
Given `(a + b)/(a - b) = 13/3`
Applying componendo and dividendo,
`(a + b + a - b)/(a + b - (a - b)) = (13 + 3)/(13 - 3)`
`\implies (2a)/(a + b - a + b) = 16/10`
`\implies (2a)/(2b) = 8/5`
`\implies a/b = 8/5`
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