Question

if a: b = 5 : 3 then what is the value of a+b / a- b​

Answer 1

Answer:

a:b=5:3

then,

a=5

b=3

now,

a+b/a-b=5+3/5-3

=8/2

=4

Answer 2

$\displaystyle \sf{ \frac{a + b}{a - b} } = 4$

Given :

a : b = 5 : 3

To find :

$\displaystyle \sf{ \frac{a + b}{a - b} }$

Solution :

Step 1 of 2 :

Express the given ratio as fraction

Here it is given that a : b = 5 : 3

$\displaystyle \sf{ \implies \frac{a }{b} = \frac{5}{3} }$

Step 2 of 2 :

Find the value of a + b / a - b

$\displaystyle \sf{ \frac{a }{b} = \frac{5}{3} }$

Using Componendo Dividendo Rule we get

$\displaystyle \sf{ \frac{a + b }{a - b} = \frac{5 + 3}{5 - 3} }$

$\displaystyle \sf{ \implies \frac{a + b }{a - b} = \frac{8}{2} }$

$\displaystyle \sf{ \implies \frac{a + b }{a - b} = 4}$

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