Question

11. 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

❑Given information

• ↠Natural number has been divided into two parts in the ratio 7 : 11
• ↠ And there Difference of two parts is 20

❑What we have to calculate

• ↠ We have ask to calculate the number and the two parts .

❑How we solve this question

• Frist Assume a number (unknown) eg : y
• According to the given statement setup the equation in terms of y
• Then solve the equation

Let's us assume

• ↠ The number is y

❑Finding out Number

• ↠ In order to find the Number has been divided into parts .we have to multiply y with both ratio

For 1st number

• ⇢7 × y = 7y

For 2nd number

• ⇢11 × y = 11y

❑ Therefore, the two parts of number are 7y and 11y

❑Forming an equation

↠As given two parts in ratio number they would be Subtracted two ratio equal to difference of two parts

Therefore equation formed

• ⇢ 7y - 11y = 20

❑Solving the above equation

• Subtracting 7y and 11y

➻ 7y - 11y = 20

• On subtracting

➻ 4y = 20

• transferring sides

➻ y = 20/4

• On Dividing 20 by 4

➻ y = 5

❑Now finding out two parts ratio

Putting value of y

1st number ⇢7y = 7×5 = 35

2nd number ⇢11y = 11×5 = 55

Finding out main number

we have to add 1st number and 2nd number

• ⇢35 + 55 = 90

$\\ \red\bigstar \fbox{ \underline{\underline{ \textsf{ \textbf{ \green{The \: main number \: is \: 90 \: and \: two \: parts \: are \: 35 \: and \: 55}}}}} }$

Answer 2

Question:-

11. A natural number has been divided into two parts in the ratio 7:11. If the difference of two part is 20, find the number and the two parts.

Given:-

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

To Find:-

• The number and the two parts.

Solution:-

Given ratio is 7:11.

Let, first part = 7x and

second part = 11x.

then number = 7x + 11x = 18x.

According to question,

Second part – First part = 20.

11x – 7x = 20.

4x = 20.

$\sf\red{\colorbox{blue}{x = 5.}}$

Therefore, number = 18 × 5 = 90.

First part = 7 × 5 = 35.

Second part = 11 × 5 = 55.

Answer:-

$\sf \red{\colorbox{blue}{Hence, the number is 90 and it's two parts are 35 and 55.}}$

Hope you have satisfied. ⚘