Question

The sum of two numbers is 20 and their difference is 4. Find the greater number​

Answer 1

Question:-

The sum of two numbers is 20 and their difference is 4. Find the greater number.

Solution:-

Given,

• Sum of two numbers is 20 and the difference between the two numbers is 4.

Sum of x , y:-

• x + y = 20 ...... ( 1 )

Difference between x , y:-

• x - y = 4 ......... ( 2 )

Now,

Add add the equation ( 1 ) and ( 2 )

x + y = 20

x – y = 4

2x = 24

x = 24/2

$\boxed{x = 12}$

Substitute x in equation ( 1 )

x + y = 20

12 + y = 20

y = 20 - 12

$\boxed{y = 8}$

Verification:-

Given,

Difference between two numbers is 4.

20 - 12 = 4

And,

Substitute x , y in equation ( 1 )

12 + 8 = 20

20 = 20

Answer 2

.

$\blue{let \: the \: unknown \: number \: be} \: x \: \blue{and} \: y$

$\fbox{ \pink{⛄sum}} \\ x + y = 20....1. \\ \\ \fbox{ \red{♠difference}} \\ x - y = 4...2\\ soving \: both \: the \: equation \: we \: get \\ 2x = 24 \\ x = \frac{ 24}{2} = 12 \\ put \: the \: value \: of \: x \: in \: any \: of \: the \: equation \\ 12 - y = 4 \\ y = 12 - 4 = 8.$

the greater number is 12.