Question

The equation of ‘One number is thrice the other number and their sum is 24’ is​

Answer 1

Answer:

Let the number be x.

3x+x=24 .

Answer 2

$\large \clubs \: \: \: \sf{ \underline{ \color{navy}{Question : }}}$

The equation of ‘One number is thrice the other number and their sum is 24’

what is the Equation ?

$\large \clubs \: \: \: \sf{ \underline{ \color{navy}{ Answer: }}}$

• The equation ➟ x + 3x = 24.
• The two numbers are 6 and 18.

$\large \clubs \: \: \: \sf{ \underline{ \color{red}{Given : }}}$

• One number is thrice the other number.

• Their sum is 24.

$\large \clubs \: \: \: \sf{ \underline{ \color{red}{ To \: find: }}}$

• The equation.

$\blacktriangleright \: \: {\sf{ \underline{ \underline{ \color{red}{Step - by \: Step \: explanation }}}}}$

$\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Let \: one \: of \: the \: two \: numbers \: be x.}}}}}$

$\longmapsto \: \: { \underline{ \boxed{ \sf{ \color{purple}{Then \: the \: other \: number = 3x}}}}}$

• (Since its thrice the other number)

$\longmapsto \: \: { \underline{ \sf{ \color{purple}{Given, \: their \: sum \: is \: 24.}}}}$

• So, we get :-

$\qquad{ \implies{ \bf{x + 3x = 24}}}$

$\qquad{ \implies{ \bf{ 4 x = 24}}}$

$\qquad{ \implies{ \bf{ x = \: \cancel \frac{24}{4} }}}$

$\qquad{ \implies{ \bf{ x = 6}}}$

• Since the first number (x) = 6,

$\sf{Therefore \: the \: other \: number \: = 3x }$

$\qquad{ \implies{ \sf{ 3 × 6 = 18.}}}$

$\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Verification }}}}}$

To check our answer,

• we just need to add these two numbers and see whether their sum is 24 or not.

$\qquad{ \implies{ \sf{ 18 + 6 = 24.}}}$

$\longmapsto \: \: { \underline{ \sf{ \color{purple}{hence \: their \: sum \: is \: 24}}}}$

$\circ \: \: { \underline{ \boxed{ \sf{ \color{violet}{ Hence \: \: verified!}}}}}$