Question

A natural number is divided into two parts in the ratio7:11. if the difference of two parts is 20 ,find the number and the two parts​

Answer 1

Answer:

55 and 35

Step-by-step explanation:

So if we take the number divided into 2 parts as X, then=

11x-7x=20

4x=20

x=5

11x= 11*5=55

7x= 7*5= 35

55+35=90

Check:

90*7/18=35

90*11/18=55

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Answer 2

Answer:

Natural Number: 90

Two Parts: 35 and 55

Step-by-step explanation:

Let  x and y be the two natural numbers where y > x :

Then,

$\frac{x}{y} = \frac{7}{11}$

$x = \frac{7y}{11} -----( i )$

According to the question, the difference of two parts is 20

$y - x= 20 -------( ii )$

Substituting the value of x from (i) in (ii)

$y - \frac{7y}{11} = 20$

$\frac{11y - 7y}{11} = 20$

$4y = 20 * 11$

$4y = 220$

$y = 55 ------(iii)$

Substituting the value of y from (iii) in (iii)

$55 - x = 20$

$x = 55 -20$

$x = 35$

Therefore, the natural number is 35 + 55 => 90

and the two parts were 35 and 55