The difference of three times a number and five is four. Find the number

Mathematics

1 answer:

givi [52]2 years ago

4 0

The difference of three times a number and five is four. Then the number is 3

<u>Solution:</u>

Given that,

Difference of three times a number and five is four

We have to find the number

Let us frame a equation using the given information and solve the sum

Let the number be "n"

Difference of three times a number and five = 4

Three times n - 5 = 4

3n - 5 = 4

3n = 9

On dividing 9 by 3 we get 3

n = 3

Thus the required number is 3

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Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3

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$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=4.5\\
x=3
\end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k
\\\\\\
13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}$