Question

one fourth of a number added to one sixth of it is 15 find the number

Answer 1

let the no. be x
1/4× x + 1/6 ×x = 15
1x/4+ 1x/6=15
( 4 x + 6 x )/24= 15
10x/24=15
10x=15×24
10x=360
x=36
the number is 36

Answer 2

$\fontsize{18}{10}{\textup{\textbf{The required number is 36.}}}$

Step-by-step explanation:

Let the required number be represented by n.

Then, according to the given information, we have

$\dfrac{1}{4}n+\dfrac{1}{6}n=15\\\\\\\Rightarrow \dfrac{3+2}{12}n=15\\\\\\\Rightarrow \dfrac{5}{12}n=15\\\\\\\Rightarrow \dfrac{n}{12}=3\\\\\Rightarrow n=3\times12\\\\\Rightarrow n=36.$

Thus, the required number is 36.

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