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tia_tia [17]
3 years ago
6

If (3a-5b) : (3a+5b)=1:4 then find the value of a:b​

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

a : b = 25 : 9

Step-by-step explanation:

(3a - 5b) : (3a + 5b) = 1 : 4

Product of extremes = product  of  means

(3a - 5b) *4 = (3a +5b) * 1    {Distributive property}

3a * 4  - 5b*4 = 3a + 5b

12a - 20b = 3a + 5b

Add 20b to both sides

12a = 3a + 5b + 20b

12a = 3a + 25b

Subtract 3a from both sides

12a - 3a = 25b

9a = 25b

\dfrac{a}{b}=\dfrac{25}{9}

a:b = 25 : 9

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Answer:

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Step-by-step explanation:

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Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

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