Question

The sum of two positive integer is 34 and there diffrence is 8

Answer 1

Answer:

Step-by-step explanation:

Integers = 13 and 21

13+21 = 34

21 - 13 =8

Answer 2

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

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;34}}$

$\textbf{\underline{Difference\;is\;8}}$

Assume

Number be x and y respectively

So,

x + y = 34 ....... (1)

x - y = 8 ........... (2)

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

x + y + (x - y) = 34 + 8

x + y + x - y = 34 + 8

2x = 34 + 8

2x = 42

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{42}}{\cancel{2}}$

x = 21

Hence,

$\Large{\boxed{\bigstar{{First\;number= 21}}}}$

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

x + y = 34

21 + y = 34

y = 34 - 21

y = 13

Therefore,

$\huge{\boxed{\sf\:{First\;number = 21\;and\;Second\;number = 13}}}$