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Svetach [21]
3 years ago
8

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

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

3a:2b=6:1  

Step-by-step explanation:

given, \frac{a+b}{a-b}=\frac{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

Papessa [141]3 years ago
7 0

Answer:

3 a : 2 b = 6 : 1

Step-by-step explanation:

<em>\frac{a + b}{a - b} = \frac{5}{3}</em>

<em>3 ( a + b) = 5 ( a - b) </em>

<em>3 a + 3 b = 5 a - 5 b </em>

<em>5 b + 3 b = 5 a - 3 a </em>

<em> 8 b = 2 a </em>

<em> 2 a = 8 b</em>

<em><u>a = 4 b</u></em>

<em>3 a = 3 × 4 b</em>

<em><u>3 a = 12 b</u></em>

<em>3 a: 2 b = 12 b : 2 b</em>

<em>3 a : 2 b = 6 : 1</em>

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