Question

2
(4) The sum of two number is 2400.6% of one
number is 10.; of the other, what is the dilence
al number​

Answer 1

Question:

The sum of two numbers is 2400. If 6 % of one number is 10 % of the other, what is the difference between two numbers?

Answer:

The difference between the two numbers is 600.

Step-by-step-explanation:

Let the greater number be x.

And the smaller number be y.

From the first condition,

Sum of two numbers is 2400.

∴ x + y = 2400

⇒ x = 2400 - y

⇒ x = - y + 2400 - - - ( 1 )

From the second condition,

6 % of first number is 10 % of second number.

∴ 6 % of x = 10 % of y

⇒ 6 % * x = 10 % * y

⇒ ( 6 / 100 ) * x = ( 10 / 100 ) * y

⇒ 6x / 100 = 10y / 100

⇒ 6x = 10y

⇒ 6 ( - y + 2400 ) = 10y - - - [ From ( 1 ) ]

⇒ - 6y + 14400 = 10y

⇒ 14400 = 10y + 6y

⇒ 16y = 14400

⇒ y = 14400 ÷ 16

⇒ y = 3600 ÷ 4

⇒ y = 900

By substituting y = 900 in equation ( 1 ), we get,

x = - y + 2400 - - - ( 1 )

⇒ x = - 900 + 2400

⇒ x = 1500

Now,

The difference between the numbers = x - y

⇒ The difference = 1500 - 900

⇒ The difference = 600

∴ The difference between the two numbers is 600.