Question

two-fifth a no. x is 5

convert given statement into ( equation)​​​

Answer 1

Given statement:

Two-fifth of a number x is 5.

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Equation:

Two-fifth of x = $\dfrac {2x}{5}$

So,

$\boxed {\sf {\red {\dfrac {2x}{5} = 5}}}$---> This is the required equation.

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Solution:

As we have formed the equation, lets solve it now!

$\dfrac {2x}{5} = 5$

2x = 5×5

2x = 25

x = $\dfrac {25}{2}$

$\boxed {\sf {\blue{x = 12.5}}}$

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Verification:

On substituting the value of x as 12.5 in the equation,

$\dfrac {2x}{5} = 5$

$\dfrac {2×12.5}{5} = 5$

$\dfrac {25}{5} = 5$

5 = 5

LHS = RHS

Hence Verified!

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Final answer:

The number is 12.5.

Answer 2

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Given:

• Statement: Two-fifth of a number $\bold x$ is 5.

To do:

• Convert the given statement into equation.

Answer:

$\Large{\boxed{\sf{\green{\frac{2}{5}x=5}}}}$

Solution of the equation:

$\sf\implies\frac{2}{5}x=5$

$\sf\implies 2x = 5×5$

$\sf\implies 2x = 25$

$\sf\implies x= \frac{25}{2}$

• $\large\underline{\boxed{\sf{\red{x=12.5}}}}$

Verification:

To verify, substitute 12.5 in place of 'x' in the equation.

$\sf\implies\frac{2}{5}x=5$

$\sf\implies\frac{2}{5}×12.5=5$

$\sf\implies\frac{2×12.5}{5}=5$

$\sf\implies\frac{25}{5}=5$

$\sf\implies 5=5$

$\bold{\implies L.H.S = R.H.S}$

• $\large{\underline{\underline{\tt{\blue{Hence,\: verified\:!}}}}}$

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