Question

In the ratio 3:8, if2 is added to antecedent and 7 is added to consequent, what will be the new
ratio?​

Answer 1

Answer :-

• The new ratio will be 1 : 3.

To find :-

• The new ratio.

Step-by-step explanation :-

• Here, the original ratio is 3 : 8. 2 is added to the antecedent and 7 is added to the consequent, we have to find the new ratio.

We know that :-

• The first quantity of a ratio is called the antecedent.
• The second quantity of a ratio is called the consequent.

Here,

• The antecedent is 3.
• The consequent is 8.

When 2 is added to the antecedent,

• It becomes 5, as 3 + 2 = 5.

When 7 is added to the consequent,

• It becomes 15, as 8 + 7 = 15.

-------------------------------------------------

Now, the new ratio in fractional form is :-

$\sf \dfrac{3 + 2}{8 + 7} = \dfrac{5}{15}$

Reducing the fraction to it's simplest form,

$\sf \dfrac{1}{3}$

Converting it into ratio,

$\underline{\boxed{\sf 1 : 3}}$

-------------------------------------------------

• Hence, the new ratio will be 1 : 3.