Question

the sum of two numbers is 14 the difference is 4

Answer 1

Answer:

The two numbers are 9 and 5

Step-by-step explanation:

Let the two numbers be a and b

their sum = 14

⇒ a + b = 14 → equation 1

their difference = 4

⇒ a - b = 4 → equation 2

Solving equation 1 and 2

a + b = 14

a - b = 4

≡≡≡≡≡≡≡≡≡≡

2a + 0b = 18

⇒ 2a = 18

⇒ a = 18/2

⇒ a = 9

Substituting a = 9 in equation 1

a + b = 14

⇒ 9 + b = 14

⇒ b = 14 - 9

⇒ b = 5

The two numbers are 9 and 5