Question

The sum of two number is 10 and their difference is 6 then the number are _ and_

Answer 1

Answer:

Option (a) is correct

Step-by-step explanation:

Step-by-step explanation:

Concept:

A simultaneous equations in two variables are formed as per given data.

The solution of those equations is found by elimination method.

Let the two numbers be x and y with x > y

As per given data,

x + y = 10.........(1)

x - y = 6............(2)

Answer 2

Answer:

TAKING BOTH THE NUMBERS AS VARIABLES THAT IS x AND y AND MAKING THEM IN EQUATION FORM-

$x + y = 10 \: \: \: \: \: \: \: \: \: - - - - - (1) \\ x - y = 6 \: \: \: \: \: \: \: \: - - - - - - (2) \\ \\ adding \: equation \: 1 \: and \: 2 \: - \\ \\ (x + y) + (x - y) = 10 + 6 \\ x + x + y - y = 16 \\ 2x = 16 \\ x = \frac{16}{2} \\ x = 8 \: \: \: \: \: \: \: \: \: \: \: \: - - - - - (3) \\ \\ putting \: the \: value \: of \: x \: from \: \\ eqation \:( 3) \: to \: eqution \: (1) - \\ \\ x + y = 10 \\ (8) + y = 10 \\ y = 10 - 8 \\ y = 2 \\ \\ hence \: the \: value \: of - \\ x = 8 \\ y = 2$

PLEASE MARK AS BRAINLIEST ONE.

HOPE THIS WILL HELP YOU