Question

a natural number has been divided into two parts in the ratio 7:11 if the difference of two parts is 20 find the number and the two parts.

Answer 1

Let the Common Multiple Be X
Therefore:-
11x-7x=20
4x=20
x=20/4
x=5

First No.=7x=7*5=35
Second No.=11x=11*5=55

Main Number=35+55=90

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Answer 2

Answer:

The natural number is 90. The two parts of the natural number are 35 and 55.

Step-by-step explanation:

Given that a natural number is divided by two parts in the ratio 7:11.

Thus the numbers are 7x and 11x.

Given that the difference between the two parts is 20.

The value of 11x is always greater than 7x.

According to the question,

11x - 7x = 20

Subtract like terms:

4x = 20

Divide both sides by x:

x = 20/4

x = 5

Putting x = 5 in 7x and 11x.

7x = 7×5 = 35

11x = 11 × 5 = 55

The sum of 35 and 55 is the given natural number.

Therefore the natural number is 35 + 55 = 90.

To learn more about ratios, click on the below link:

https://brainly.in/question/12990045

https://brainly.in/question/52438056

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