Question

4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from th product and the difference is divided by 8, the result is equal to 10. Find the numbe​

Answer 1

Answer:

Let the number be x

When 4 is added to the number, value is (x+4)

Sum is multiplied by 5

$\implies \: (x + 4)5 = 5x + 20$

Now,20 is subtracted from difference

$\implies \: 5x + 20 - 20 \\ \\ = 5x$

Now, the last part implies

$= 5x \div 8 = 10 \\ \\ \implies5x = 10 \times 8 \\ \\ 5x = 80 \\ \\ \therefore \: x = \frac{ { \cancel{80}} \: \: ^{16} }{ \cancel5} \\ \\ \implies \: x = 16$

Hence the number is 16

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Answer 2

Answer:

Answer:

Let the number be x

When 4 is added to the number, value is (x+4)

Sum is multiplied by 5

\implies \: (x + 4)5 = 5x + 20⟹(x+4)5=5x+20

Now,20 is subtracted from difference

\begin{gathered} \implies \: 5x + 20 - 20 \\ \\ = 5x\end{gathered}

⟹5x+20−20

=5x

Now, the last part implies

\begin{gathered} = 5x \div 8 = 10 \\ \\ \implies5x = 10 \times 8 \\ \\ 5x = 80 \\ \\ \therefore \: x = \frac{ { \cancel{80}} \: \: ^{16} }{ \cancel5} \\ \\ \implies \: x = 16\end{gathered}

=5x÷8=10

⟹5x=10×8

5x=80

∴x=

5

80

16

⟹x=16

Hence the number is 16