Question

If sum of two numbers is 4 times their difference, find the numbers?

Answer 1

Let the two numbers be x and y.

As given, sum of two numbers is 4 times their difference.

→ Writing in terms of equation to the above statement

⇒ x + y = 4 (x-y)

⇒ x + y = 4 x -4 y

⇒ x - 4 x = -4 y - y

⇒ - 3 x = - 5 y

cancelling negative sign from both sides

⇒ 3 x = 5 y

As , it is not given whether x and y are natural, Rational or Real numbers.Considering x and y as real numbers The equation → 3 x - 5 y =0, Represents equation of line in two variables.

So, there are infinite number of ordered pairs of (x,y).

⇒

Answer 2

Answer:

x+y=4

Step-by-step explanation: