Question

solve the following ​

Answer 1

so sorry I know understand the question

Answer 2

Given that,

• A number is is such that it is as much greater than 84 as less than 108

To Find :

• the unknow number

Solution:

• Now let the number be x + 84

${\underline{\pink{\mathfrak{As \: we \: know\: that:}}}}$

• the number gives the same difference when added to 84 and subtracted from 100

${ : \implies} \sf \: 84 + x = 108 - x \\ \\ \\ \\ { : \implies} \sf x + x = 108 - 84 \\ \\ \\ \\ { : \implies} \sf 2x = 24 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ { : \implies} \sf \: x = \cancel\frac{24}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ { : \implies} {\underline{ \boxed {\pink{\sf x = 12}}} }\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now,

$: \longrightarrow \sf \: the \: number = 12 + 84 \\ \\ \\ : \longrightarrow \sf \: the \: number = \orange{94 \bigstar} \: \: \: \: \:$

$\therefore{ \purple{ \underline{ \rm{ \: the \: number \: unknown \: is \: 94 \: \bigstar}}}}$

Verification:

• let's verify subtracting 84 from 96 and 96 from 108 if the result is the same then we went right

➜ 96 - 84 = 12

➜ 108 - 95 = 12

$\sf {\huge{\underline{\pink{hence \: verified\dag}}}}$