#
63

E) Given that

a + 3ab2

b3 + 3a²b

Using componendo and dividendo, find a : b.

62

## Answers

Answered by

3

**Answer:**

a : b = 3 : 2

**Step-by-step explanation:**

We have

a3 + 3ab2/b3 + 3a2b = 63/62

App. Componendo and Dividendo

a3 + 3ab2 + b3 + 3a2b/ a3 + 3ab2 - b3 - 3a2b = 63 + 62/63 – 62

a3 + b3 + 3ab2 + 3a2b/a3 + 3ab2 - b3 - 3a2b = 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 – a + b = 5 + 1/5 – 1

2a/2b = 6/4

a : b = 3 : 2

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