Question

sum of two numbers is 20 and their difference is 4. which is thegreater number of two numbers​

Answer 1

Answer:

The numbers are 8 and 12.

Step-by-step explanation:

Sum of the numbers = 20

Difference between the numbers = 4

The numbers = ??

Consider the numbers as -

• One number as x
• Other number as y

According to the Question,

Their sum is 20, and difference is 4.

⇒ x + y = 20

⇒ x = 20 - y ------ (1)

⇒ x - y = 4 (Substitute eq. 1)

⇒ (20 - y) - y = 4

⇒ 20 - 2y = 4

⇒ -2y = 4 - 20

⇒ -2y = -16

⇒ 2y = 16

⇒ y = 16/2

⇒ y = 8

Substitute the value of y in eq. 1 :

⇒ x = 20 - 8

⇒ x = 12

Therefore, the numbers are 8 and 12.

Answer 2

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↝Sum of two numbers is 20 and difference is 4

• Let first number = x
• Let 2nd number = y

↝So, the sum is 20

• x+y = 20

↝Their difference is 4

• x-y = 4

↝Now add both equation

• x+y = 20
• x-y = 4
• 2x = 24
• x = 24/2
• = 12

Value of x = 12

↝Now, Substitute x in the equation 1st

• x+y = 20
• 12 + y = 20
• y = 20-12
• y = 8

Value of y = 8

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Verify :-

(Value of x) - (value of y)

• 12 - 8
• = 4

substitute x & y in the following equation

• 12 + 8
• 20

20 = 20

hence verify

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hope it helps