A ratio in the simplest form is 9 : 8.
(i) If its antecedent is 81 then find the consequent.
(ii) If its consequent is 40 then find the antecedent.
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- The first quantity is called the antecedent and the second is called the consequent of the ratio.
- The two together are called the terms of the ratio.
- Given Ratio = 9 : 8
Let the antecedent be 9x and consequent be 8x of the given ratio.
( I ) If its antecedent is 81 then find the consequent.
⇒ Antecedent = 81
⇒ 9x = 81
⇒ x = 81 ÷ 9
⇒ x = 9
• Consequent of the ratio is :
⇒ Consequent = 8x
- Putting the value of x
⇒ Consequent = 8 × 9
⇒ Consequent = 72
∴ Hence, consequent of the ratio will be 72.
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( II ) If its consequent is 40 then find the antecedent.
⇢ Consequent = 40
⇢ 8x = 40
⇢ x = 40 ÷ 8
⇢ x = 5
• Antecedent of the ratio is :
⇢ Antecedent = 9x
- Putting the value of x
⇢ Antecedent = 9 × 5
⇢ Antecedent = 45
∴ Hence, antecedent of the ratio will be 45.
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