Question 148

If $$\frac{4a-5b}{4a+5b}=\frac{1}{6}$$ ,then a : b = ?

Solution

$$\frac{4a-5b}{4a+5b}=\frac{1}{6}$$

$$6\times(4a-5b) = 1\times(4a+5b)$$

24a-30b = 4a+5b

24a-4a = 30b+5b

20a = 35b

4a = 7b

a/b = 7/4

a:b = 7:4

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