Question

If (a + b) : (a – b) = 13 : 3 ; a : b is ______.

विकल्प

• `13/3`

• `3/13`

• `5/8`

• `8/5`

Answer 1

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`