Question

The ratio of the two numbers is 4:7 and their 10 sum is 550 the difference between the numbers is

Answer 1

Answer:

150

Step-by-step explanation:

Let the nos be x and y

ATQ,

x+y=550 ===>x=550-y ----------------(1)

x:y=4:7

x/y=4/7

7x=4y

from (1)

7(550-y)=4y

3850-7y=4y

3850=11y

y= 350

x=550-350=200

y-x= 350-200=150

Answer 2

The difference between the numbers is 150

Explanation:

Given : The ratio of the two numbers is 4:7 .

Let the first number be 4x and the second number 7x.

Since , the sum of the numbers is  550  .

⇒ 4x+7x=550

⇒ 11x =550

Divide both sides by 11 , we get

x=50

So , first number = 4x =4(50)=200

second number = 7x = 7(50)=350

Difference = second number  - first number

= 350-200

=150

Hence , the difference between the numbers is 150.

# Learn more :

The boys and girls in a school are in the ratio 7: 4. If the total strength of the school is 550. Find the number of

boys and girls

https://brainly.in/question/11617401