Question

If a, 12, 16 and b are in continued proportion, find a and b?

Answer 1

Given that a,12,6,b are in continued proportion.

= > (a/12) = (12/16) = (16/b)

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Now,

= > (12/16) = (16/b)

= > 16 * 16 = 12b

= > 256 = 12b

= > b = 256/12

= > b = 64/3.

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Now,

= > a/12 = 12/16

= > 16a = 144

= > a = 144/16

= > a = 9.

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Therefore, the value of a = 9 and b = 64/3.

Hope this helps!

Answer 2

Step-by-step explanation:

a/12=12/16

144=16a

1. 144/16=a
2. a=9