Question

A number is such that it is as much greater than 45 as it is less than 75. Find the number.

Answer 1

x-45=75-x
2x=75+45
2x=120
x=60

Therefore the number is 60

Answer 2

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

Given:

$\textbf{\underline{A\;number\;is\;greater\;than\;45}}$

$\textbf{\underline{That\;number\;is\;smaller\;than\;75}}$

Assume,

Number be 'p' also that number is t greater than 45

45 + t = p ........(1)

Also,

$\textbf{\underline{Same\;number\;t\;smaller\;than\; 75}}$

75 - t = p .........(2)

$\large{\boxed{\sf\:{From\;(1)\;and\;(2)}}}$

45 + t = 75 - t

2t = 75 - 45

2t = 30

t = 15

Therefore,

Number :-

p = 45 + t

= 45 + 15

= 60

Also,

p = 75 - t

= 75 - 15

= 60

Therefore we get,

$\Huge{\boxed{\sf\:{Number=60}}}$