Question

What number must be added to each term of the ratio 9 : 16 to make the ratio 2 : 3?
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22 so that the rat​

Answer 1

Let x be the number added.

Given,

• Original Ratio = 9 : 16
• New Ratio = 2 : 3

(9 + x)/(16 + x) =2/3

⇒3(9+x) = 2(16+x)

⇒  27 + 3x = 32 + 2x

⇒ 3x - 2x = 32 - 27

⇒ x = 5

The number added = 3.