Question

The sum of two numbers is 10 and their difference is 8

Answer 1

Step-by-step explanation:

let the no.s be x and y

x+y=10

x-y=8

add the 2 equations

2x=18

x=9

and

x-y=8

9-y=8

y=1

therefore the 2 numbers are 9 and 1.

hope it helps you

Answer 2

Solution 1.

Given, the sum of the numbers is 10 and the difference of the numbers is 8.

Then the large number

= (sum of the numbers + difference of the numbers) ÷ 2

= (10 + 8) ÷ 2

= 18 ÷ 2

= 9

and the small number

= (sum of the numbers - difference of the numbers) ÷ 2

= (10 - 8) ÷ 2

= 2 ÷ 2

= 1

Answer: The two numbers are 9 and 1.

Solution 2.

Let the two numbers be x and y.

Sum of the numbers is 10 ⇒ x + y = 10 ... ... (i)

Difference of the numbers is 8 ⇒ x - y = 8 ... ... (ii)

Now (i) + (ii) ⇒

x + y + x - y = 10 + 8

⇒ 2x = 18

⇒ x = 9

Putting x = 9 in (i), we get

9 + y = 10

⇒ y = 10 - 9

⇒ y = 1

Answer: The two numbers are 9 and 1.