Question

a numbervwhen added to its half give 72 . find the number.​

Answer 1

Answer:

Let the number be x and its half be x/2.

The equation will be, x+x/2=72

2

2x+x

=72

2x+x=72×2

3x=144

x=

3

144

x=48

Let us verify

48+

2

48

=72

48+24=72

72=72.

Answer 2

GivEn:

$\sf{Given} \begin{cases} \sf{Suppose\: number \:be (x)} \\ \sf{ Half \:of\: the\: Number - ( \dfrac{x}{2} ) } \\ \sf{ Result\:is \: 72} \end{cases}$

According to Questions,

$\large{\sf{x + \dfrac{x}{2} = 72 }}$

$\implies\large{\sf{ \dfrac{2x+x}{2} = 72}} \\ \\ \implies\large{\sf{\dfrac{3x}{2} = 72 }} \\ \\ \implies\large{\sf{3x = 72 \times 2}} \\ \\ \implies\large{\sf{3x = 144}} \\ \\ \implies\large{\sf{x = \dfrac{ \cancel{144}^{ \: \: 48}}{\cancel{3}} }} \\ \\ \implies\large{\underbrace{\boxed{\sf\blue{x = 48}}}}$

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Hope it will be helpful :)