Question

The sum of two numbers is 10 and their difference is 6 what are the two numbers

Answer 1

Answer:

8 and 2

Step-by-step explanation:

Let the two numbers be x and y respectively.

According to the question ;

x + y = 10     ....(i)

x - y = 6       .... (ii)

Adding equation (i) and (ii),

⇒ x + y + x - y = 10 + 6

⇒ 2x = 16

⇒ x = $\dfrac{16}{2}$

⇒ x = 8

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

x + y = 10

⇒ 8 + y = 10

⇒ y = 10 - 8

⇒ y = 2

Hence, the required numbers are 8 and 2 respectively.

Answer 2

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• Given : The sum of two numbers is 10. The difference of them is 6.

• To Find : Those two numbers.

Let one of the number be x.

And let the other number be y.

⤐ x + y = 10 ( As it is said that the sum of the numbers is 10 ) ..... (1)

⤐ x - y = 6 ( As it is said that their difference is 6 ) ..... (2)

From (1),

x = 10 - y .... (3)

Substituting (3) in (2),

⤐ ( 10 - y ) - y = 6.

⤐ 10 - 2y = 6

⤐ - 2 y = 6 - 10

⤐ - 2y = - 4

⤐ $y = \frac{ - 4}{ - 2}$

$\boxed{y = 2}$

Now substituting the value of y in 1,

⤐ x + 2 = 10

⤐ x = 10 - 2

$\boxed{x = 8}$

So, the two numbers are 2 & 8.