The sum of two numbers is 8. If their sum is four times their difference, find the numbers.
The correct option is A 5, 3
Let the numbers be x and y
⇒x+y=8 .....(1) and
x+y=4(x−y) (Assuming x > y)
On multiplying equation (1) by 5, we get
On adding equations (2) and (3), we get
On substituting x=5 in equation (1), we get
Therefore, the numbers are 5 and 3.