Question

if a/b=7/then find the ratio a+2b/a-2b

Answer 1

$\frac{a}{b} = \frac{7}{1} \\ let \: a = 7x \\ b = x \\ \\ \frac{a + 2b}{a - 2b} \\ = \frac{7x + 2x}{7x - 2x } \\ \\ = \frac{9x}{5x} \\ = \frac{9}{5} \\ hope \: it \: helps \: \\ please \: mrk \: me \: branliest$
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Answer 2

a/b=7

a+2b/a-2b

By componendo and dividendo

Numerator +denominator/numerator -denominator

So

a+2b +a-2b/a+2b-a+2b

2a/4b

On cancelling

a/2b

a/b × 1/2

7×1/2

7/2

Or

a/b=7

a=7b

a+2b/a-2b

Substitute for a

7b +2b/ 7b -2b

9b/5b

On cancelling b

9/5