Question

the sum of two numbers is 25 and their difference is 15 find the number​

Answer 1

Answer:

↪ Required numbers are 20 and 5 respectively.

Step-by-step explanation:

↪ Let the two numbers be x and y respectively.

According to the question ;

x + y = 25   ....(i)

x - y = 15    .... (ii)

Adding equation (i) and (ii),

⇒ x + y + x - y = 25 + 15

⇒ 2x = 40

⇒ x = $\dfrac{40}{2}$

⇒ x = 20

Now, substituting the value of x in equation (i), we get ;

↪ x + y = 25

⇒ 20 + y = 25

⇒ y = 25 - 20

⇒ y = 5

Hence, the required numbers are 20 and 5 respectively.

Answer 2

Answer:

Step-by-step explanation:

↪ Required numbers are 20 and 5 respectively.

Step-by-step explanation:

↪ Let the two numbers be x and y respectively.

According to the question ;

x + y = 25 ....(i)

x - y = 15 .... (ii)

Adding equation (i) and (ii),

⇒ x + y + x - y = 25 + 15

⇒ 2x = 40

⇒ x =

⇒ x = 20

Now, substituting the value of x in equation (i), we get ;

↪ x + y = 25

⇒ 20 + y = 25

⇒ y = 25 - 20

⇒ y = 5

Hence, the required numbers are 20 and 5 respectively.