Question

the sum of two numbers is 30.one of the numbers is four more than the number divided by 2.find the numbers

Answer 1

Looks like your question has 40 and not 30.

Answer:

24 and 16.

Step-by-step explanation:

Let the first number be 2a.

      Second number is 4 more than half of 2a ⇒ 4 + 1 / 2 ( of 2a ) = 4 + ( 2a / 2 ) = 4 + a

Given,

   Sum of both numbers is 30.

⇒ 2a + ( 4 + a ) = 40

⇒ 2a + 4 + a = 40

⇒ 3a = 40 - 4

⇒ 3a = 36

⇒ a = 36 / 3

⇒ a = 12

        Hence numbers are ; 2a = 2( 12 ) = 24

                                           ; 4 + a = 12 + 4 = 16

Answer 2

AnswEr:-

Numbers are 16 & 24 respectively.

$\rule{200}{1}$

Correct question:-

The sum of two numbers is 40. One of the numbers is 4 more than the number divided by 2.Find the numbers.

Given:-

• Sum of two numbers = 40
• One number = 4 + second number/2

To find:-

• Two numbers = ?

Solution:-

Let two numbers be x & y respectively.

∴ y = 4 + x/2

According to question:-

⇒ x + 4 + x/2 = 40

⇒ (2x + 8 + x)/2 = 40

⇒ 3x + 8 = 2 × 40

⇒ 3x + 8 = 80

⇒ 3x = 80 - 8

⇒ 3x = 72

⇒ x = 72/3

⇒ x = 24

$\rule{150}{1}$

⋆ NUMBERS:-

↠ One number = x = 24

↠ Second number = 4 + x/2

⇒ Second number = 4 + 24/2

⇒ Second number = 4 + 12

↠ Second number = 16

Therefore,

Two numbers are 24 & 16 respectively.