Question

The sum of two numbers is 40 and the difference between them is 14. find the numbers.​

Answer 1

Answer:

The two numbers that add up to 40 and have a difference of 14 are 27 and 13, respectively.

Answer 2

Answer:

Let the two numbers be x and y such that x>y.

Therefore,

x+y=40 (1)

x−y=14.(2)

Adding equation (1) and (2), we have

(x+y)+(x−y)=40+14

2x=54

⇒x=

2

54

=27

Substituting the value of x in equation (1), we have

27+y=40

⇒y=40−27=13

Hence the required numbers are 27 and 13.