Question

1. Find a : b if (3ă + b): (a + b)= 9:5.
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Answer 1

Correct question :

• Find a : b if (3a + b) : (a + b) = 9 : 5.

Given :

• (3a + b) : (a + b) = 9 : 5.

To find :

• a : b

Solution :

(3a + b) : (a + b) = 9 : 5

3a + b/a + b = 9/5

9a + 9b = 5(3a + b)

9a + 9b = 15a + 5b

9b - 5b = 15a - 9a

4b = 6a

a/b = 4/6

∴ a : b = 2 : 3

Answer 2

Answer:

GIVEN

find a:b if (3a +b) : (a:b) = 95

To find

A:B

Solution

(3a +b) : (a:b) = 95

3a + b/a + b = 9/5

9a + 9b = 5 (3a + b)

9a + 9b = 15a + 5b

9b + 5b = 15a - 9a

4b = 6a

$\frac{a}{b} = \frac{4}{6}$

Ratio in simplest form = 2:3