Question

The difference of two numbers is 9 and they are in the ratio 4: 7. Find the numbers.

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Answer 1

Answer:

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Step-by-step explanation:

Smaller Number = 12

Greater Number = 21

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

The difference of two number is 9

Constituting it mathematically,

Substitute x = 3 in the values of the ratio,

•°• Greater number = 7x = 7(3) = 21

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

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Answer 2

Answer:

Let ratio be 4x and 7x

Difference=9

7x-4x=9

3x=9

x=9/3

x=3

Numbers are 4*3=12 and 7*3=21.

4x=12

7x=21

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