Question

One fifth of a number increased by 7 is equal to one fourth of the same number decreased by 7

Answer 1

Questions should be:

• One fifth of a number increased by 7 is equal to one fourth of the same number decreased by 7. Find the number.

ANSWER:

• Required number = 280.

GIVEN:

• One fifth of a number increased by 7 is equal to one fourth of the same number decreased by 7.

SOLUTION:

Let the number be 'x'.

According to the Question:

$\implies \dfrac{x}{5} + 7 = \dfrac{x}{4} - 7 \: \\ \\ \implies \frac{x}{5} - \frac{x}{4} = - 7 - 7 \\ \\ \implies \: \frac{4x - 5x}{20} = - 14 \\ \\ \implies \: \frac{ - x}{20} = - 14 \\ \\ \implies \: x = 14 \times 20 \\ \\ \implies \: x = 280$

• Required number = 280.

NOTE:

• This type of Question can be solved by using linear equation in one variable.
• Firstly we have to form the equation and then we can simply that expression.
• Then we will get the required number.

Answer 2

Answer:

Questions should be:

One fifth of a number increased by 7 is equal to one fourth of the same number decreased by 7. Find the number.

ANSWER:

Required number = 280.

GIVEN:

One fifth of a number increased by 7 is equal to one fourth of the same number decreased by 7.

SOLUTION:

Let the number be 'x'.

According to the Question:

\begin{gathered}\implies \dfrac{x}{5} + 7 = \dfrac{x}{4} - 7 \: \\ \\ \implies \frac{x}{5} - \frac{x}{4} = - 7 - 7 \\ \\ \implies \: \frac{4x - 5x}{20} = - 14 \\ \\ \implies \: \frac{ - x}{20} = - 14 \\ \\ \implies \: x = 14 \times 20 \\ \\ \implies \: x = 280\end{gathered}

⟹

5

x

+7=

4

x

−7

⟹

5

x

−

4

x

=−7−7

⟹

20

4x−5x

=−14

⟹

20

−x

=−14

⟹x=14×20

⟹x=280

Required number = 280.

NOTE:

This type of Question can be solved by using linear equation in one variable.

Firstly we have to form the equation and then we can simply that expression.

Then we will get the required number.