Question

If the average of a number it's 75% and it's 25% is 240 then the number is​

Answer 1

Step-by-step explanation:

Given :-

the average of a number it's 75% and it's 25% is 240

To find:-

Find the number?

Solution:-

Let the number be X

75% of the number

=> 75% of X

=> 75% × X

=> (75/100)×X

=> (3/4)×X

=> (3×X)/4

=> 3X/4

and

25% of the number

=> 25% of X

=> 25% × X

=> (25/100)×X

=> (1/4)×X

=> (1×X)/4

=> X/4

Now,

The average of 75% and 25% of the number

=> [(3X/4)+(X/4)]/2

=> [(3X+X)/4]/2

=> (4X/4)/2

=> X/2

According to the given problem

The average of 75% and 25% of the number=240

=> X/2 = 240

=> X = 240×2

=> X = 480

Therefore, X = 480

Answer:-

The required number for the given problem is 480

Check:-

The number = 480

75% of 480

=> (75/100)×480

=> (3/4)×480

=> 3×120

=> 360

25% of 480

=> (25/100)×480

=> (1/4)×480

=> 120

Their average = (360+120)/2

=> 480/2

=> 240

Verified the given relations in the given problem.

Used formulae:-

The average of the two numbers a and b is (a+b)/2

Answer 2

☆Answered by Rohith kumar .R .

☆●Given :-

The average number of its 75% and 25%is 240.

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☆●To prove :-

What is the number ??

□□□□□□□□□□□□□□□□□□□□□

☆Proof: -

Let the number be x

Then,

= x+75%of x +35%of x =240

3

=x+ 75 x +25 x= 240×3

100 100

=x+ 3 x+ 1 x=720.

4 4

=2x=720

x= 720

2

x= 360.

☆Therefore, the number is 360.

☆Hope it helps u mate.

☆Thank you .