Question

the sum of two numbers is 43 their diffrence is 13 find numbers

Answer 1

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

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;43}}$

$\textbf{\underline{Difference\;is\;13}}$

Assume

Number be x and y respectively

So,

x + y = 43 ....... (1)

x - y = 13 ........... (2)

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

x + y + (x - y) = 43 + 13

x + y + x - y = 43 + 13

2x = 43 + 13

2x = 56

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{56}}{\cancel{2}}$

x = 28

Hence,

$\Large{\boxed{\bigstar{{First\;number= 28}}}}$

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

x + y = 43

28 + y = 43

y = 43 - 28

y = 15

Therefore,

$\huge{\boxed{\sf\:{First\;number = 28\;and\;Second\;number = 15}}}$