Question

Ben is 3 times as old as Daniel and is also 4 years older than Daniel.
How old is Daniel?

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

Daniel is 2 years old.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Ben = 3 times as old as Daniel and is also 4 years older than Daniel.

To find :

Age of Daniel

Solution :

Consider the age of Daniel as x

Ben = 3x

★ Equation :-

$\boxed{\sf{3x = x + 4}}$

$\sf{\implies} \: 3x = x+ 4$

$\sf{\implies} \: 3x - x = 4$

$\sf{\implies} \: 2x = 4$

$\sf{\implies} \: x = \dfrac{4}{2}$

$\sf{\implies} \: x = 2$

$\therefore$ Daniel is 2 years old.

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \: 3(2) = 2 + 4$

$\sf{\implies} \: 6 = 6$

$\therefore$ Daniel is 2 years old.

Answer 2

Answer :-

Given :-

$\sf{Ben\ is\ 3\ times\ as\ old\ as\ Daniel\ ;}$

$\sf{Ben\ is\ 4\ years\ older\ than\ Daniel.}$

To Find :-

$\sf{Age\ of\ Daniel.}$

Solution :-

$\sf{Let\ the\ age\ of\ Daniel\ is\ x.}$

$\sf{Age\ of\ Ben\ =\ 3x}$

According To Question :-

$\implies{\sf{3x\ =\ x\ +\ 4}}$

$\implies{\sf{3x\ -\ x\ =\ 4}}$

$\implies{\sf{2x\ =\ 4}}$

$\implies{\sf{x\ =\ \dfrac{4}{2}}}$

$\implies{\sf{x\ =\ 2}}$

$\boxed{\sf{So,\ the\ age\ of\ Daniel\ is\ 2\ years.}}$