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What is the ratio of a:b, knowing that (a-b)/(a+b)=3/5

 Feb 21, 2022
 #1
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Multiply both sides by 5(a+b); distribute the results on both sides, collect the terms in a and b, then divide through by b.

 Feb 21, 2022
 #2
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Or...

 

Solve the system of equations

 

a - b = 3 (1)

a + b = 5 (2)

 

Add (1) and (2) together and you'll get 

 

2a = 8 (3)

 

Now divide through by 2, then substitute a to the second equation (2), then find the ratio of a : b.

 Feb 21, 2022
 #3
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in* not to

 Feb 21, 2022

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