Question

7. One third of a number increased by 5 is equal to its half part decreased by 5. Find the number.
If the post of fencing around the field​

Answer 1

Answer:

\begin{lgathered}\frac{x}{3} + 5 = \frac{x}{2} - 5 \\ 10 = \frac{x}{2} - \frac{x}{3} \\ 10 = \frac{3x - 2x}{6} \\ \frac{x}{6} = 10 \\ x = 60\end{lgathered}3x+5=2x−510=2x−3x10=63x−2x6x=10x=60

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Answer 2

Step-by-step explanation:

Let the number be x

According the Question,

$\tt \dfrac{1}{3}x +5 = \dfrac{1}{2}x-5$

Solution:-

$\tt \implies\dfrac{x}{3}+5= \dfrac{x}{2}-5$

$\implies \tt \dfrac{x}{3}- \dfrac{x}{2} = -5-5$

$\implies \tt \dfrac{2x-3x}{6}= -10$

$\implies \tt \dfrac{-x}{6}=-10$

$\implies \tt -x = 6 \times -10 = -60$

$\implies \tt -x=-60$

$\implies \boxed{\tt x=60}$

$\large \tt \therefore the \: number \: is \: 60.$

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