Question

The difference of two number is 9and they are in ratio4:7.Find the numbers​

Answer 1

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Smaller Number = 12

Greater Number = 21

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Given :

• The difference of two number is 9
• They are in the ratio 4 : 7

To find :

• The Numbers

Solution :

Let x be the common multiple of the ratio 4 : 7

•°• Greater Number = 7x

Smaller Number = 4x

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• The difference of two number is 9

Constituting it mathematically,

$\rightarrow$$\bold{7x-4x\:=\:9}$

$\rightarrow$$\bold{3x\:=\:9}$

$\rightarrow$$\bold{x\:={\frac{9}{3}}}$

$\rightarrow$$\bold{x\:=\:3}$

Substitute x = 3 in the values of the ratio,

•°• Greater number = 7x = 7(3) = 21

Smaller Number = 4x = 4(3) = 12

Answer 2

SOLUTION:-

Given:

•The difference of two number is 9.

•They are in the ratio 4:7.

To find:

The number.

Explanation:

We have,

Ratio of two numbers is 4:7.

Let the first number be 4R.

Let the second number be 7R.

&

•Difference between two numbers is 9

=) 7R - 4R= 9

=) 3R = 9

=) R= 9/3

=) R= 3

Thus,

The first number is, 4R= 4×3= 12

The second number is,7R=7×3= 21.

Thank you.