Question

5.
The difference between 6 times a number and
23/7 is -9/7. find the number ​

Answer 1

Answer:

The required number is 1/3.

Step-by-step explanation:

Given :

The difference between 6 times a number and  23/7 is -9/7

To find :

the number

Solution :

Let the number be 'a'

⇒ 6 times the number = 6a

According to the Question,

$\sf 6a-\dfrac{23}{7}=\dfrac{-9}{7} \\\\ \sf 6a=\dfrac{-9}{7}+\dfrac{23}{7} \\\\ \sf 6a=\dfrac{23-9}{7} \\\\ \sf 6a=\dfrac{14}{7} \\\\ \sf 6a=2 \\\\ \sf a=\dfrac{2}{6} \\\\ \sf a=\dfrac{1}{3}$

Therefore, the number is 1/3

Answer 2

${\boxed{\underline{\tt{\orange{Required \: Answer:-}}}}}$

$\dag \: \sf{given} \: : - \:$

• difference between 6 times a number and
• 23/7 is -9/7.

$\dag \: \sf{to \: find} \: : -$

• the number

$\dag \: \: \sf{solution} \: : -$

Let the number be ▪a▪

So, According to question: -

● 6 times a number = 6a

● The difference between 6 times a number and

23/7 is -9/7.

$□ \sf{\: \: 6a - \frac{23}{7} = - \frac{9}{7} }$

$□ \: \: \sf{6a = \frac{ - 9}{7} + \frac{23}{7} }$

$□ \: \: \sf{6a = \frac{ - 9 + 23}{7} }$

$□ \: \: \sf{6 a = \frac{ 14}{ 7} }$

$□ \: \: \sf{6 a = \frac{ \cancel{14}}{ \cancel{7}} }$

$□ \: \: \sf{6 a = 2 }$

$□ \: \: \sf{a = \frac{2}{6} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\boxed {\underline {\huge {\blue{a= \frac{1}{3} }}}}}$

So, The Number is 1/3.

---------------TO VERIFY:-

$: \longrightarrow\sf{6 \times \frac{1}{3} - \frac{23}{7} = ?? } \\ \\ : \longrightarrow \sf{ \frac{2}{1} - \frac{23}{7} = ??} \\ \\ : \longrightarrow\sf{ \frac{7 \times 2 - 23}{7} =?? } \\ \\ : \longrightarrow\sf{ \frac{14 - 23}{7} = ??} \\ \\ : \longrightarrow\sf{ \frac{ - 9}{7} } \\ \\ \\ \bf{hence \: \: verified \: \::)}$