Question

The difference of two number is 6 and A.M. between them is 8. Find the numbers.

Answer 1

SOLUTION ☺️

Let a and b be two numbers such that a>b.

=) a-b= 6...........(1)

=) a+b/2= 8

=) a+b= 16...........(2)

On solving equation (1)&(2) we get

a= 11 and b= 5

Hence, the required numbers are 11 and 5.

Hope it helps ✔️

Answer 2

Answer:

numbers are 5,6,7,8,9,10,11

X=11 ;Y=5

Step-by-step explanation:

$let \: two \: number \: be \: x \: and \: y \\ then \\ x - y = 6 - - - - - (1) \\ arithmetic.mean = \frac{x + y}{2} = 8 \\ x + y = 16 \\ x = 16 - y - - - - - (2) \\ putting \: value \: of \: x \: in \: (1) \\ x - y = 6 \\ 16 - y - y = 6 \\ - 2y = - 10 \\ y = 5 \\ putting \: value \: of \: y \: in \: (1) \\ x - y = 6 \\ x - 5 = 6 \\ x = 11$

numbers are 5 to 11 i.e 5,6,7,8,9,10,11

I HOPE U UNDERSTAND