Question

Munna subtract thrice the number of notebook he has from 50 find result to be 8. find the number of notebooks​

Answer 1

GIVEN :-

• If thrice the number of notebooks are subtracted ftom 50 the result found was 8

TO FIND :-

• The number of notebooks

SOLUTION :-

Let the number of Notebooks be ' x '

Then the thrice number of notebooks becomes '3x'

Subtracting thrice the number of notebooks from 50 = 50 - 3x

According to the question ,

$\implies \sf \: 50 - 3x = 8 \\ \\ \implies \sf \: - 3x = 8 - 50 \\ \\ \implies \sf \: - 3x = - 42 \\ \\ \implies \sf \cancel{ - } 3x = \cancel{ - }42 \\ \\ \implies \sf \: 3x = 42 \\ \\ \implies \sf \: x = \frac{42}{3} \\ \\ \implies {\underline {\boxed {\blue {\sf{x = 14}}}}}$

∴ The number of notebooks are 14

VERIFICATION :-

Substituting x as 14 in the equation,

$\implies \sf \: 50 - 3(14) = 8 \\ \\ \implies \sf \: 50 - 42 = 8 \\ \\ \implies \sf \: 8 = 8 \\ \\ \implies \sf \: LHS = RHS$

$\huge {\underline {\boxed{ \green{ \rm{HENCE\: \: VERIFIED}}}}}$

Answer 2

★ QUESTION :

Munna subtract thrice the number of notebook. He has from 50 find the result to be 8. Find the number of notebooks.

GIVEN :

• Notebook subtracted by Munna = thrice (×3) the the number of notebook.

TO FIND :

• Total number of notebooks = ?

(considering here the total number of notebooks as x )

STEP-BY-STEP EXPLAINATION :

We will consider the total number of notebooks as x,

We'll now subtract thrice the number of notebook from the given number, as per the question asked :

So, we will consider here thrice of notebooks as 3x

ㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤ➠ 80 - 3x = 8

ㅤㅤㅤㅤ➠ - 3x = 8 - 50

ㅤㅤㅤㅤ➠ - 3x = - 42

Now, here -3 and -42 will be reduced as applying the formula for :

• – and – = +

ㅤㅤ➠ 3x = 42 (when sign changed)

ㅤㅤ➠ x = 42 / 3 = 14 (when reduced)

Therefore, total number of notebooks = 14

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⭐ ADDITIONAL INFORMATION ⭐

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★ Formulae for solving sums.

Some of the important formula that are to be applied for solving sums, when the given are :

ㅤㅤㅤㅤㅤㅤㅤ⟹ – and – = +

ㅤㅤㅤㅤㅤㅤㅤ⟹ – and + = –

ㅤㅤㅤㅤㅤㅤㅤ⟹ + and – = –

ㅤㅤㅤㅤㅤㅤㅤ⟹ + and + = +