Question

the sum of two numbers is 16 and the diffrence is 2

Answer 1

Step-by-step explanation:

the two numbers are 14 and 2

Answer 2

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

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;16}}$

$\textbf{\underline{Difference\;is\;2}}$

Assume

Number be x and y respectively

So,

x + y = 16 ....... (1)

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

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

x + y + (x - y) = 16 + 2

x + y + x - y = 16 + 2

2x = 16 + 2

2x = 18

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{18}}{\cancel{2}}$

x = 9

Hence,

$\Large{\boxed{\bigstar{{First\;number= 9}}}}$

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

x + y = 16

9 + y = 16

y = 16 - 9

y = 7

Therefore,

$\huge{\boxed{\sf\:{First\;number = 9\;and\;Second\;number = 7}}}$