Question

18. If 4 of a number is equal to 12 of another number, then the ratio of the numbers is: 1:4 1:3 4:3 3:1​

Answer 1

Answer:

example

Let the numbers be x & y,

y

x

=

3

1

;

y+12

x+12

=

15

7

3x=y

Substituting the value of y in 2

nd

ratio

3x+12

x+12

=

15

7

⇒15x+180=21x+84

⇒96=6x

⇒x=16

y=3x=3×16=48

Numbers =16,48.

solution

Answer 2

Given,

4 times a number is equal to 12 times the other number.

To find,

The ratio of the numbers

Solution,

We may utilize the following mathematical approach.

The approach for obtaining the ratio of the numbers is as follows.

Let us assume the first number to be x and the other number to be y.

According to the question,

⇒ 4 times a number is equal to 12 times the other number.

⇒ 4 x = 12 y

⇒ x = 3 y

⇒ $\frac{x}{y}$ = 3

Thus, the ratio of the numbers x:y will be 3:1.