Question

The sum of two numbers is 8. If their sum is four times their difference, then find the numbers.

Answer 1

Answer:

5 and 3

Step-by-step explanation:

Let the two numbers be x and y.

So, x + y = 8 …… (i)

Given that their sum is four times their difference.

x + y = 4 ( x - y )

8 = 4 ( x - y )

x - y = 8 / 4

x - y = 2 …… (ii)

On adding equation (i) and (ii)

x + y + x - y = 8 + 2

2x = 10

x = 10 / 2

x = 5 …… (iii)

Now, putting the value of (iii) in (i),

x + y = 8

5 + y = 8

y = 8 - 5

y = 3

Hence, the two numbers are 5 and 3.

Answer 2

suppose the two numbers are x and y respectively.
case1 ,
x + y = 8 ..….(1)
case 2 ,
8= 4(x - y)
8 = 4x - 4y
divide by 2
2x - 2y = 4
while solving the equations you get the answer