Question

what two numbers have a diffrence of 3 and a sum of 13

Answer 1

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

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;13}}$

$\textbf{\underline{Difference\;is\;3}}$

Assume

Number be x and y respectively

So,

x + y = 13 ....... (1)

x - y = 3 ........... (2)

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

x + y + (x - y) = 13 + 3

x + y + x - y = 13 + 3

2x = 13 + 3

2x = 16

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{16}}{\cancel{2}}$

x = 8

Hence,

$\Large{\boxed{\bigstar{{First\;number= 8}}}}$

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

x + y = 13

8 + y = 13

y = 13 - 8

y = 5

Therefore,

$\huge{\boxed{\sf\:{First\;number = 8\;and\;Second\;number = 5}}}$