Question

The diffrence of two number is 7 and their sum is 53.find the numbers

Answer 1

Let one no. be x and other no. be 53-x.

x - 53 - x = 7

-2x = 53 - 7

-2x = -46

2x = 46

x = 23

Therefore, the numbers are 23 and 30.

Answer 2

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

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;53}}$

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

Assume

Number be x and y respectively

So,

x + y = 53 ....... (1)

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

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

x + y + (x - y) = 53 + 7

x + y + x - y = 53 + 7

2x = 53 + 7

2x = 60

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{60}}{\cancel{2}}$

x = 30

Hence,

$\Large{\boxed{\bigstar{{First\;number= 30}}}}$

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

x + y = 53

30 + y = 53

y = 53 - 30

y = 23

Therefore,

$\huge{\boxed{\sf\:{First\;number = 30\;and\;Second\;number = 23}}}$