Question

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

Answer 1

Let the no is X
6 times the no= 6x

6x-23/7= -9/7
6x= -9/7+23/7
6x= (-9+23)/7
6x= 14/7
6 x=2
x= 2/6= 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:-

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