Question

Difference between two numbers is 7 and thier sum is 49

Answer 1

Let the numbers be a & b

So, a + b=49......... (1)
a - b=7.......... (2)
Adding (1) &(2)
2a=56
→a=28

Putting this value of a in (1)
b=49-28
→b=21

So the numbers you are searching for is are 21&28

Answer 2

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

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;49}}$

$\textbf{\underline{Difference\;is\;7}}$

Assume

Number be x and y respectively

So,

x + y = 49 ....... (1)

x - y = 7 ........... (2)

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

x + y + (x - y) = 49 + 7

x + y + x - y = 49 + 7

2x = 49 + 7

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 = 49

28 + y = 49

y = 49 - 28

y = 21

Therefore,

$\huge{\boxed{\sf\:{First\;number = 28\;and\;Second\;number = 21}}}$