Question

the teacher in the class tells that the highest marks obtained by a student in her class in twice the lowest marks plus 6. the highest score is 48 what is the lowest score​

Answer 1

Given : A teacher in the class tells that the highest marks obtained by a student in her class in twice the lowest marks plus 6. And the highest score is 48.

To Find : What is the lowest score?

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❍ Let us assume, that the lowest score is 'x'. Then, the highest score will be (2x + 6).

According to the question,

➟ $\sf{2x + 6 = 48}$

➟ $\sf{2x = 48 - 6}$

➟ $\sf{x = \dfrac{ \cancel{42}^{ \: 21} }{ \cancel{2}_{ \: 1} } }$

➟ $\sf{x = 21}$

$\purple{\bf{Hence, the \: lowest \: score \: is \: 21.}}$

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Verification :

$\mathtt{ \leadsto \: 2x + 6 = 48}$

❐ Substituting x = 21, we get

➺ $\sf{2(21) + 6 = 48}$

➺ $\sf{42 + 6 = 48}$

➺ $\sf{48 = 48}$

➺ $\sf{LHS = RHS}$

$\color{red}{\bf{Hence, verified. \: \checkmark}}$