Question

3) The sum of
three consecutive numbers is 72. Find the numbers.​

Answer 1

Answer:

Let the three consecutive numbers be

x , x + 1 , x + 2

their sum is 72

therefore ,

x + x + 1 + x + 2 = 72

3x + 3 = 72

3x = 72-3

x = 69/3

x = 23

therefore first number is 23

second number is 24

third number is 25

Answer 2

$\Huge{\textbf{\textsf{{\color{navy}{an}}{\purple{sw}}{\pink{er}}{\color{pink}{:}}}}}$

$\large\bf{{\underline{To~find}}:}$

$\sf ~~~~~~~~~~The \: three \: consecutive \: numbers \: whose \\ \sf sum \: is \: 72 .\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ~~~~~~~~~~~ \: \:$

$\bf{Let~the~numbers~be:}$

$\sf{~~~~~~x~,~~x+1~,~~x+2}$

$\sf{:→ (x)+(x+1)+(x+2)=72}$

$\sf{:→ x+x+1+x+2=72}$

$\sf{:→ 3x+3=72}$

$\sf{:→ 3x=72-3}$

$\sf{:→ 3x=69}$

$\sf{:→ x={\dfrac{69}{3}}}$

$\sf{:→ x=23}$

$\bf\therefore{{\underline{The~numbers~are}}:}$

$\sf 1. \: \: \: x = { \underline{ \underline{ \bf 23}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf 2. \: \: \: x + 1 = 23 + 1 = { \underline{ \underline{ \bf 24}}} \\ \sf 3. \: \: \: x + 2 = 23 + 2 = { \underline{ \underline{ \bf 25}}}$

$\bf{{\underline{Verification}}:}$

$\: \: \: \: \: \: \: \: \: \: \sf 23 + 24 + 25 \\ \sf \implies (47) + 25 \: \: \: \: \: \: \: \: \: \\ \sf \implies { \underline{ \underline{ \bf 72}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\huge{✓}}$