Question

1/3 of 2 digits exceeds its1/4 by 7

Answer 1

first let the number be x

so x/3 - x/4 = 7

x/12 = 7

x=84

number is 84 and sum of digits is 8 + 4 = 12

Answer 2

$\bigstar\huge{\texttt{Concept\: used:-}}$

$\textbf{Linear Equation in one variable}$

$\textbf{Now:-}$

$\sf\textsf{Let the number be {\textbf{\underline{‘x’}}}}$

$\sf\textsf{So, the first number=1/3x}$

$\sf\textsf{The second number=1/4x}$

$\sf\textsf{It is also given that:-}$

$\textbf{\underline{The first number exceeds the second number by 7}}$

$\sf\textsf{\color{grey}{ATQ:-}}$

$\implies{x/4+7=x/3}$

$\implies{x/4-x/3=-7}$

$\implies{3x-4x/12=-7}$

$\implies{-x/12=-7}$

$\implies{\cancel{-}x/12={\cancel{-}7}}$

$\implies{x/12=7}$

$\implies{x=12×7}$

$\implies{\boxed{\bold{x=84}}}$

$\sf{So, the \:number\: is\: {\bold{84}\: and \:the\: two \:digits\: are\: 8\: and\: 4, \:which\: add\: up \:to\: 12}}$