Question

If the antecedent and consequent of a ratio are increased by 5 and 6 respectively then the ratio is 5:6. find the original ratio

Answer 1

Answer:

5:6

Step-by-step explanation:

The antecedent and consequent of a ratio are increased by = 5 and 6 (Given)

let’s say that the original ratio is x:y

Thus, according to the equation -

Thus, (x+5)/(y+6) = 5/6

= 6(x+5) = 5(y+6)

= 6x+30 = 5y+30

Thus, will cancel from both the sides - hence -

= 6x = 5y

Then x/y = 5/6

Thus, If the antecedent and consequent of a ratio are increased, then the original ratio will be 5:6

Answer 2

5 : 6  is the  original ratio of the antecedent and consequent. If the antecedent and consequent ratio are increased.

Given :

The antecedent and consequent of a ratio are increased by 5 and 6

The ratio becomes 5 : 6

To find:

The original ratio = ?

Solution :

Let the ratio be x and y

The antecedent and consequent of a ratio are increased by 5 and 6

Hence the ratio becomes x+5 : y+6

Given the ratio becomes 5 : 6

$\frac{x+5}{y+6}=\frac{5}{6}$

6x + 30 = 5y + 30

6x = 5y

$\frac{x}{y}=\frac{5}{6}$

5 : 6 is the original ratio of the antecedent and consequent. If the antecedent and consequent ratio are increased.