Question

two number the sum of 9 diffrence of 1

Answer 1

Answer=5 and 4

Explanation:-

let two numberw are X and Y

X-Y=1

X+Y=9

solve for x in frst equation

x=1+y

substitute 1+y instead of x in the second equation

(1+y)+y=9

1+2y=9

2y=8

y=4

Substitute y in any of the equation

x+y=9

x+4=9

x=5

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Questions}}}}$

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;9}}$

$\textbf{\underline{Difference\;is\;1}}$

Assume

Number be x and y respectively

So,

x + y = 9 ....... (1)

x - y = 1 ........... (2)

$\Large{\boxed{\bigstar{{Adding\;both\;Equation :-}}}}$

x + y + (x - y) = 9 + 1

x + y + x - y = 9 + 1

2x = 9 + 1

2x = 10

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{10}}{\cancel{2}}$

x = 5

Hence,

$\Large{\boxed{\bigstar{{First\;number= 5}}}}$

$\Large{\boxed{\bigstar{{Second\;number:-}}}}$

x + y = 9

5 + y = 9

y = 9 - 5

y = 4

Therefore,

$\huge{\boxed{\sf\:{First\;number = 5\;and\;Second\;number = 4}}}$