Question

One-third of a number plus 4 gives 5. Find which of the following is the number?
(1 Point)​

Answer 1

Answer:

Let no be x

1/3x+4=5

x/3+4=5

(x+12)/3=5

x+12=15

x=3

Answer 2

Let us consider the number to be found as $\tt{x}$

According to the question ; we have been told that $\tt{ \dfrac{1}{3}}$ of a number i.e. now $\tt{x}$ + 4 gives 5. And we are asked to find the number.

$\longrightarrow{\tt{ \dfrac{1}{3}x + 4 \implies 5}}$

Transposing 4 to the other side of equal to sign ; it changes its sign from (+) to (-) . So we get :

$\longrightarrow{\tt{\dfrac{1}{3}x \implies 5 - 4}}$

$\longrightarrow{\tt{ \dfrac{1}{3}x \implies 1}}$

Now , we will make both the values in the form of fractions.

1 in fractional form can be written as $\tt{ \dfrac{1}{1}}$ So , we get :

$\longrightarrow{\tt{ \dfrac{1}{3}x \implies \dfrac{1}{1}}}$

For finding the value of x we will bring both items together that is transpose either of the terms to the another side. When a is transposed it reciprocates itself. That is the numerator and denominator interchange their places.

$\longrightarrow{\tt{ x \implies \dfrac{1}{1} \times \dfrac{3}{1}}}$

$\longrightarrow{\tt{ x \implies \cancel{\dfrac{1}{1} \times \dfrac{3}{1}}}}$

$\large{\boxed{\implies{\tt{ x \implies 3}}}}$

Verification :

$\tt{ \dfrac{1}{3} \times 3 + 4 \implies 5}$

$\tt{ \dfrac{1}{\cancel{3}} \times \cancel{3} + 4 \implies 5}$

$\tt{1 + 4 \implies 5}$

$\tt{ 5 \implies 5}$

LHS = RHS

So , our answer is verified