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Explanation:
We have,
a^3+3ab^2/b^3+3a^2b=63/62
App. componendo and dividendo
a^3+3ab^2/b^3+3a^2b/
a^3+3ab^2-b^3-4a^2b=63+62/63-62
a^3+b^3+3ab^2+3a^2b/a^3+3ab^2-b^3-3a^2b=125/1
(a+b) 3/(a-b)^3=125/1
a+b/a-b=5/1
Again applying componendo and dividendo
a+b+a-b/a+b=5+1/5-1
2a/2b=6/4
a:b=3:2
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