Question

Aman subtracts thrice the number of notebooks he has from 50,he find the result to be 8 .find the number​

Answer 1

he had 14 notebooks

hope it helps

Answer 2

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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 ,

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

∴ The number of notebooks are 14

VERIFICATION :-

Substituting x as 14 in the equation,

$\begin{gathered}\implies \sf \: 50 - 3(14) = 8 \\ \\ \implies \sf \: 50 - 42 = 8 \\ \\ \implies \sf \: 8 = 8 \\ \\ \implies \sf \: LHS = RHS\end{gathered}$

$\huge {\underline {\boxed{ \purple{ \tt {HENCE\: \: VERIFIED}}}}}$