Question

A+b/a-b=5/3 what are the following ratios? 3a:2b

Answer 1

3a:2b=6:1

Explanation:

given,
`(a+b)/(a-b)`=
`(5)/(3)`

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

3a+3b=5a-5b

2a=8b

a=4b

3a:2b=3(4b):2b=12b:2b=6:1

hence 3a:2b=6:1 answer

Answer 2

3 a : 2 b = 6 : 1

Explanation:

`(a + b)/(a - b)` =
`(5)/(3)`

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

3 a + 3 b = 5 a - 5 b

5 b + 3 b = 5 a - 3 a

8 b = 2 a

2 a = 8 b

a = 4 b

3 a = 3 × 4 b

3 a = 12 b

3 a: 2 b = 12 b : 2 b

3 a : 2 b = 6 : 1