Question

The sum of two natural number is 25 and their difference is 7. The numbers are 

1 point

17 and 8

16 and 9

18 and 7

15 and 10

​

Answer 1

Answer:

16 and 9

Step-by-step explanation:

Given:

• Sum of two natural numbers is 25
• Difference of two natural numbers is 7

To find:

• The numbers?

Solution:

☯ Let the numbers be x and y.

According to the given Question:

Sum of two natural numbers is 25

⇏ x + y = 25 eq [1]

Difference of two natural numbers is 7

⇏ x - y = 7 eq [2]

Now, Adding eq [1] and eq [2], we get,

⇏ x + x = 25 + 7

⇏ 2x = 32

⇏x = 32/2

⇏ x = 16

Now, Putting value of x in equation [1],

⇏ 16 + y = 25

⇏ y = 25 - 16

⇏ y = 9

∴ Hence, The required two numbers are 16 and 9.

Answer 2

★ Given:

1. Sum of 2 natural numbers is 25
2. Their difference is 7

★ To find:

• Numbers = ?

★ Method:

Let the 2 natural numbers be x and y.

According to the question,

x + y = 25  → (Equation 1)

x - y = 7    → (Equation 2)

Adding Equations 1 and 2,

            x + y = 25

  (+)      x - y = 7    

           2x = 32

⇒ x = 32 ÷ 2

⇒ x = 16

Substitute value of x in any one of the equations.

Here we have substituted in Equation 1

x + y = 25

16 + y = 25

⇒ y = 25 - 16

⇒ y = 9

∴ The numbers are 16 and 9